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Finding the Fourth Proportional to 71,507.70, 98,681.40 and 39,677.13

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Solution

The fourth proportional to 71,507.70, 98,681.40 and 39,677.13 is: 54,754.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,507.70 : 98,681.40 = 39,677.13 : x
  2. Step 2: Convert to fraction form
    71,507.70/98,681.40 = 39,677.13/x
  3. Step 3: Cross multiply
    71,507.70x = 98,681.40 × 39,677.13
  4. Step 4: Simplify right side
    71,507.70x = 3,915,394,736.38
  5. Step 5: Solve for x
    x = 3,915,394,736.38/71,507.70
  6. Step 6: Final answer
    x = 54,754.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.