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Finding the Fourth Proportional to 83,101.67, 124,652.50 and 38,759.44

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Solution

The fourth proportional to 83,101.67, 124,652.50 and 38,759.44 is: 58,139.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,101.67 : 124,652.50 = 38,759.44 : x
  2. Step 2: Convert to fraction form
    83,101.67/124,652.50 = 38,759.44/x
  3. Step 3: Cross multiply
    83,101.67x = 124,652.50 × 38,759.44
  4. Step 4: Simplify right side
    83,101.67x = 4,831,460,471.34
  5. Step 5: Solve for x
    x = 4,831,460,471.34/83,101.67
  6. Step 6: Final answer
    x = 58,139.15

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Why These Related Problems?

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