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Finding the Fourth Proportional to 69,115.24, 103,694.76 and 24,741

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Solution

The fourth proportional to 69,115.24, 103,694.76 and 24,741 is: 37,119.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,115.24 : 103,694.76 = 24,741 : x
  2. Step 2: Convert to fraction form
    69,115.24/103,694.76 = 24,741/x
  3. Step 3: Cross multiply
    69,115.24x = 103,694.76 × 24,741
  4. Step 4: Simplify right side
    69,115.24x = 2,565,512,057.16
  5. Step 5: Solve for x
    x = 2,565,512,057.16/69,115.24
  6. Step 6: Final answer
    x = 37,119.34

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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.