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Finding the Fourth Proportional to 27,121.38, 40,675.50 and 10,470.78

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Solution

The fourth proportional to 27,121.38, 40,675.50 and 10,470.78 is: 15,703.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,121.38 : 40,675.50 = 10,470.78 : x
  2. Step 2: Convert to fraction form
    27,121.38/40,675.50 = 10,470.78/x
  3. Step 3: Cross multiply
    27,121.38x = 40,675.50 × 10,470.78
  4. Step 4: Simplify right side
    27,121.38x = 425,904,211.89
  5. Step 5: Solve for x
    x = 425,904,211.89/27,121.38
  6. Step 6: Final answer
    x = 15,703.63

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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.