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Finding the Fourth Proportional to 52,166.49, 71,990.27 and 29,505.70

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Solution

The fourth proportional to 52,166.49, 71,990.27 and 29,505.70 is: 40,718.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,166.49 : 71,990.27 = 29,505.70 : x
  2. Step 2: Convert to fraction form
    52,166.49/71,990.27 = 29,505.70/x
  3. Step 3: Cross multiply
    52,166.49x = 71,990.27 × 29,505.70
  4. Step 4: Simplify right side
    52,166.49x = 2,124,123,309.54
  5. Step 5: Solve for x
    x = 2,124,123,309.54/52,166.49
  6. Step 6: Final answer
    x = 40,718.16

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