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Finding the Fourth Proportional to 83,006.50, 124,508.58 and 38,608.42

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Solution

The fourth proportional to 83,006.50, 124,508.58 and 38,608.42 is: 57,912.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,006.50 : 124,508.58 = 38,608.42 : x
  2. Step 2: Convert to fraction form
    83,006.50/124,508.58 = 38,608.42/x
  3. Step 3: Cross multiply
    83,006.50x = 124,508.58 × 38,608.42
  4. Step 4: Simplify right side
    83,006.50x = 4,807,079,550.24
  5. Step 5: Solve for x
    x = 4,807,079,550.24/83,006.50
  6. Step 6: Final answer
    x = 57,912.09

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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.