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Finding the Fourth Proportional to 110,046.92, 165,135.96 and 39,931.70

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Solution

The fourth proportional to 110,046.92, 165,135.96 and 39,931.70 is: 59,921.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,046.92 : 165,135.96 = 39,931.70 : x
  2. Step 2: Convert to fraction form
    110,046.92/165,135.96 = 39,931.70/x
  3. Step 3: Cross multiply
    110,046.92x = 165,135.96 × 39,931.70
  4. Step 4: Simplify right side
    110,046.92x = 6,594,159,613.93
  5. Step 5: Solve for x
    x = 6,594,159,613.93/110,046.92
  6. Step 6: Final answer
    x = 59,921.35

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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.