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Finding the Fourth Proportional to 96,505.68, 144,772.26 and 29,951.56

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Solution

The fourth proportional to 96,505.68, 144,772.26 and 29,951.56 is: 44,931.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,505.68 : 144,772.26 = 29,951.56 : x
  2. Step 2: Convert to fraction form
    96,505.68/144,772.26 = 29,951.56/x
  3. Step 3: Cross multiply
    96,505.68x = 144,772.26 × 29,951.56
  4. Step 4: Simplify right side
    96,505.68x = 4,336,155,031.73
  5. Step 5: Solve for x
    x = 4,336,155,031.73/96,505.68
  6. Step 6: Final answer
    x = 44,931.60

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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.