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Finding the Fourth Proportional to 100,951.68, 151,449.66 and 29,868.78

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Solution

The fourth proportional to 100,951.68, 151,449.66 and 29,868.78 is: 44,809.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,951.68 : 151,449.66 = 29,868.78 : x
  2. Step 2: Convert to fraction form
    100,951.68/151,449.66 = 29,868.78/x
  3. Step 3: Cross multiply
    100,951.68x = 151,449.66 × 29,868.78
  4. Step 4: Simplify right side
    100,951.68x = 4,523,616,575.61
  5. Step 5: Solve for x
    x = 4,523,616,575.61/100,951.68
  6. Step 6: Final answer
    x = 44,809.72

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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.