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Finding the Fourth Proportional to 27,630.32, 41,451.04 and 10,097.88

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Solution

The fourth proportional to 27,630.32, 41,451.04 and 10,097.88 is: 15,148.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,630.32 : 41,451.04 = 10,097.88 : x
  2. Step 2: Convert to fraction form
    27,630.32/41,451.04 = 10,097.88/x
  3. Step 3: Cross multiply
    27,630.32x = 41,451.04 × 10,097.88
  4. Step 4: Simplify right side
    27,630.32x = 418,567,627.80
  5. Step 5: Solve for x
    x = 418,567,627.80/27,630.32
  6. Step 6: Final answer
    x = 15,148.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.