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Finding the Fourth Proportional to 34,334.80, 51,415.80 and 22,584.40

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Solution

The fourth proportional to 34,334.80, 51,415.80 and 22,584.40 is: 33,819.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,334.80 : 51,415.80 = 22,584.40 : x
  2. Step 2: Convert to fraction form
    34,334.80/51,415.80 = 22,584.40/x
  3. Step 3: Cross multiply
    34,334.80x = 51,415.80 × 22,584.40
  4. Step 4: Simplify right side
    34,334.80x = 1,161,194,993.52
  5. Step 5: Solve for x
    x = 1,161,194,993.52/34,334.80
  6. Step 6: Final answer
    x = 33,819.77

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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.