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Finding the Fourth Proportional to 83,657.76, 125,499.24 and 24,486

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Solution

The fourth proportional to 83,657.76, 125,499.24 and 24,486 is: 36,732.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,657.76 : 125,499.24 = 24,486 : x
  2. Step 2: Convert to fraction form
    83,657.76/125,499.24 = 24,486/x
  3. Step 3: Cross multiply
    83,657.76x = 125,499.24 × 24,486
  4. Step 4: Simplify right side
    83,657.76x = 3,072,974,390.64
  5. Step 5: Solve for x
    x = 3,072,974,390.64/83,657.76
  6. Step 6: Final answer
    x = 36,732.69

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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.