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Finding the Fourth Proportional to 83,295.17, 124,742.55 and 47,648.42

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Solution

The fourth proportional to 83,295.17, 124,742.55 and 47,648.42 is: 71,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,295.17 : 124,742.55 = 47,648.42 : x
  2. Step 2: Convert to fraction form
    83,295.17/124,742.55 = 47,648.42/x
  3. Step 3: Cross multiply
    83,295.17x = 124,742.55 × 47,648.42
  4. Step 4: Simplify right side
    83,295.17x = 5,943,785,414.27
  5. Step 5: Solve for x
    x = 5,943,785,414.27/83,295.17
  6. Step 6: Final answer
    x = 71,358.10

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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.