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Finding the Fourth Proportional to 41,411.90, 57,146.64 and 22,549.16

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Solution

The fourth proportional to 41,411.90, 57,146.64 and 22,549.16 is: 31,116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,411.90 : 57,146.64 = 22,549.16 : x
  2. Step 2: Convert to fraction form
    41,411.90/57,146.64 = 22,549.16/x
  3. Step 3: Cross multiply
    41,411.90x = 57,146.64 × 22,549.16
  4. Step 4: Simplify right side
    41,411.90x = 1,288,608,728.82
  5. Step 5: Solve for x
    x = 1,288,608,728.82/41,411.90
  6. Step 6: Final answer
    x = 31,116.87

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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.