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Finding the Fourth Proportional to 70,140.20, 105,118.14 and 33,214.76

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Solution

The fourth proportional to 70,140.20, 105,118.14 and 33,214.76 is: 49,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,140.20 : 105,118.14 = 33,214.76 : x
  2. Step 2: Convert to fraction form
    70,140.20/105,118.14 = 33,214.76/x
  3. Step 3: Cross multiply
    70,140.20x = 105,118.14 × 33,214.76
  4. Step 4: Simplify right side
    70,140.20x = 3,491,473,791.75
  5. Step 5: Solve for x
    x = 3,491,473,791.75/70,140.20
  6. Step 6: Final answer
    x = 49,778.50

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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.