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Finding the Fourth Proportional to 41,689.48, 57,531.42 and 22,569.16

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Solution

The fourth proportional to 41,689.48, 57,531.42 and 22,569.16 is: 31,145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,689.48 : 57,531.42 = 22,569.16 : x
  2. Step 2: Convert to fraction form
    41,689.48/57,531.42 = 22,569.16/x
  3. Step 3: Cross multiply
    41,689.48x = 57,531.42 × 22,569.16
  4. Step 4: Simplify right side
    41,689.48x = 1,298,435,823.01
  5. Step 5: Solve for x
    x = 1,298,435,823.01/41,689.48
  6. Step 6: Final answer
    x = 31,145.41

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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.