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Finding the Fourth Proportional to 52,047.76, 71,825.92 and 29,691.76

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Solution

The fourth proportional to 52,047.76, 71,825.92 and 29,691.76 is: 40,974.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,047.76 : 71,825.92 = 29,691.76 : x
  2. Step 2: Convert to fraction form
    52,047.76/71,825.92 = 29,691.76/x
  3. Step 3: Cross multiply
    52,047.76x = 71,825.92 × 29,691.76
  4. Step 4: Simplify right side
    52,047.76x = 2,132,637,978.42
  5. Step 5: Solve for x
    x = 2,132,637,978.42/52,047.76
  6. Step 6: Final answer
    x = 40,974.64

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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.