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Finding the Fourth Proportional to 40,411.69, 55,766.75 and 22,505.78

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Solution

The fourth proportional to 40,411.69, 55,766.75 and 22,505.78 is: 31,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,411.69 : 55,766.75 = 22,505.78 : x
  2. Step 2: Convert to fraction form
    40,411.69/55,766.75 = 22,505.78/x
  3. Step 3: Cross multiply
    40,411.69x = 55,766.75 × 22,505.78
  4. Step 4: Simplify right side
    40,411.69x = 1,255,074,233.70
  5. Step 5: Solve for x
    x = 1,255,074,233.70/40,411.69
  6. Step 6: Final answer
    x = 31,057.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.