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Finding the Fourth Proportional to 90,591.74, 135,926.00 and 48,460.78

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Solution

The fourth proportional to 90,591.74, 135,926.00 and 48,460.78 is: 72,711.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,591.74 : 135,926.00 = 48,460.78 : x
  2. Step 2: Convert to fraction form
    90,591.74/135,926.00 = 48,460.78/x
  3. Step 3: Cross multiply
    90,591.74x = 135,926.00 × 48,460.78
  4. Step 4: Simplify right side
    90,591.74x = 6,587,080,091.61
  5. Step 5: Solve for x
    x = 6,587,080,091.61/90,591.74
  6. Step 6: Final answer
    x = 72,711.71

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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.