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Finding the Fourth Proportional to 27,600.96, 41,402.12 and 10,070.78

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Solution

The fourth proportional to 27,600.96, 41,402.12 and 10,070.78 is: 15,106.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,600.96 : 41,402.12 = 10,070.78 : x
  2. Step 2: Convert to fraction form
    27,600.96/41,402.12 = 10,070.78/x
  3. Step 3: Cross multiply
    27,600.96x = 41,402.12 × 10,070.78
  4. Step 4: Simplify right side
    27,600.96x = 416,951,695.20
  5. Step 5: Solve for x
    x = 416,951,695.20/27,600.96
  6. Step 6: Final answer
    x = 15,106.42

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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.