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Finding the Fourth Proportional to 51,870, 71,593.56 and 29,526.96

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Solution

The fourth proportional to 51,870, 71,593.56 and 29,526.96 is: 40,754.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,870 : 71,593.56 = 29,526.96 : x
  2. Step 2: Convert to fraction form
    51,870/71,593.56 = 29,526.96/x
  3. Step 3: Cross multiply
    51,870x = 71,593.56 × 29,526.96
  4. Step 4: Simplify right side
    51,870x = 2,113,940,182.38
  5. Step 5: Solve for x
    x = 2,113,940,182.38/51,870
  6. Step 6: Final answer
    x = 40,754.58

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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.