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Finding the Fourth Proportional to 76,841.74, 115,234.88 and 32,471.92

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Solution

The fourth proportional to 76,841.74, 115,234.88 and 32,471.92 is: 48,696.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,841.74 : 115,234.88 = 32,471.92 : x
  2. Step 2: Convert to fraction form
    76,841.74/115,234.88 = 32,471.92/x
  3. Step 3: Cross multiply
    76,841.74x = 115,234.88 × 32,471.92
  4. Step 4: Simplify right side
    76,841.74x = 3,741,897,066.04
  5. Step 5: Solve for x
    x = 3,741,897,066.04/76,841.74
  6. Step 6: Final answer
    x = 48,696.16

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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.