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Finding the Fourth Proportional to 83,007, 124,509.24 and 38,608.92

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Solution

The fourth proportional to 83,007, 124,509.24 and 38,608.92 is: 57,912.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,007 : 124,509.24 = 38,608.92 : x
  2. Step 2: Convert to fraction form
    83,007/124,509.24 = 38,608.92/x
  3. Step 3: Cross multiply
    83,007x = 124,509.24 × 38,608.92
  4. Step 4: Simplify right side
    83,007x = 4,807,167,286.42
  5. Step 5: Solve for x
    x = 4,807,167,286.42/83,007
  6. Step 6: Final answer
    x = 57,912.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.