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Finding the Fourth Proportional to 41,689.28, 57,531.84 and 22,828.16

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Solution

The fourth proportional to 41,689.28, 57,531.84 and 22,828.16 is: 31,503.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,689.28 : 57,531.84 = 22,828.16 : x
  2. Step 2: Convert to fraction form
    41,689.28/57,531.84 = 22,828.16/x
  3. Step 3: Cross multiply
    41,689.28x = 57,531.84 × 22,828.16
  4. Step 4: Simplify right side
    41,689.28x = 1,313,346,048.61
  5. Step 5: Solve for x
    x = 1,313,346,048.61/41,689.28
  6. Step 6: Final answer
    x = 31,503.21

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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.