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Finding the Fourth Proportional to 83,117.60, 124,595.40 and 47,542.40

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Solution

The fourth proportional to 83,117.60, 124,595.40 and 47,542.40 is: 71,267.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,117.60 : 124,595.40 = 47,542.40 : x
  2. Step 2: Convert to fraction form
    83,117.60/124,595.40 = 47,542.40/x
  3. Step 3: Cross multiply
    83,117.60x = 124,595.40 × 47,542.40
  4. Step 4: Simplify right side
    83,117.60x = 5,923,564,344.96
  5. Step 5: Solve for x
    x = 5,923,564,344.96/83,117.60
  6. Step 6: Final answer
    x = 71,267.27

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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.