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Finding the Fourth Proportional to 110,046.78, 165,081.11 and 39,931.56

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Solution

The fourth proportional to 110,046.78, 165,081.11 and 39,931.56 is: 59,901.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,046.78 : 165,081.11 = 39,931.56 : x
  2. Step 2: Convert to fraction form
    110,046.78/165,081.11 = 39,931.56/x
  3. Step 3: Cross multiply
    110,046.78x = 165,081.11 × 39,931.56
  4. Step 4: Simplify right side
    110,046.78x = 6,591,946,049.17
  5. Step 5: Solve for x
    x = 6,591,946,049.17/110,046.78
  6. Step 6: Final answer
    x = 59,901.31

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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.