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Finding the Fourth Proportional to 52,072.92, 71,866.98 and 29,412.90

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Solution

The fourth proportional to 52,072.92, 71,866.98 and 29,412.90 is: 40,593.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,072.92 : 71,866.98 = 29,412.90 : x
  2. Step 2: Convert to fraction form
    52,072.92/71,866.98 = 29,412.90/x
  3. Step 3: Cross multiply
    52,072.92x = 71,866.98 × 29,412.90
  4. Step 4: Simplify right side
    52,072.92x = 2,113,816,296.04
  5. Step 5: Solve for x
    x = 2,113,816,296.04/52,072.92
  6. Step 6: Final answer
    x = 40,593.39

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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.