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Finding the Fourth Proportional to 83,046.49, 124,657.41 and 38,716

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Solution

The fourth proportional to 83,046.49, 124,657.41 and 38,716 is: 58,114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,046.49 : 124,657.41 = 38,716 : x
  2. Step 2: Convert to fraction form
    83,046.49/124,657.41 = 38,716/x
  3. Step 3: Cross multiply
    83,046.49x = 124,657.41 × 38,716
  4. Step 4: Simplify right side
    83,046.49x = 4,826,236,285.56
  5. Step 5: Solve for x
    x = 4,826,236,285.56/83,046.49
  6. Step 6: Final answer
    x = 58,114.87

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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.