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Finding the Fourth Proportional to 60,843.42, 83,932.47 and 38,500.38

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Solution

The fourth proportional to 60,843.42, 83,932.47 and 38,500.38 is: 53,110.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,843.42 : 83,932.47 = 38,500.38 : x
  2. Step 2: Convert to fraction form
    60,843.42/83,932.47 = 38,500.38/x
  3. Step 3: Cross multiply
    60,843.42x = 83,932.47 × 38,500.38
  4. Step 4: Simplify right side
    60,843.42x = 3,231,431,989.34
  5. Step 5: Solve for x
    x = 3,231,431,989.34/60,843.42
  6. Step 6: Final answer
    x = 53,110.62

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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.