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Finding the Fourth Proportional to 69,984,342.70, 105,029,002.05 and 35,888,137.90

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Solution

The fourth proportional to 69,984,342.70, 105,029,002.05 and 35,888,137.90 is: 53,859,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,984,342.70 : 105,029,002.05 = 35,888,137.90 : x
  2. Step 2: Convert to fraction form
    69,984,342.70/105,029,002.05 = 35,888,137.90/x
  3. Step 3: Cross multiply
    69,984,342.70x = 105,029,002.05 × 35,888,137.90
  4. Step 4: Simplify right side
    69,984,342.70x = 3,769,295,309,069,782.50
  5. Step 5: Solve for x
    x = 3,769,295,309,069,782.50/69,984,342.70
  6. Step 6: Final answer
    x = 53,859,122.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.