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Finding the Fourth Proportional to 41,702.34, 57,549.87 and 22,838.25

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Solution

The fourth proportional to 41,702.34, 57,549.87 and 22,838.25 is: 31,517.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,702.34 : 57,549.87 = 22,838.25 : x
  2. Step 2: Convert to fraction form
    41,702.34/57,549.87 = 22,838.25/x
  3. Step 3: Cross multiply
    41,702.34x = 57,549.87 × 22,838.25
  4. Step 4: Simplify right side
    41,702.34x = 1,314,338,318.53
  5. Step 5: Solve for x
    x = 1,314,338,318.53/41,702.34
  6. Step 6: Final answer
    x = 31,517.14

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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.