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Finding the Fourth Proportional to 41,386.90, 57,114.10 and 22,524

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Solution

The fourth proportional to 41,386.90, 57,114.10 and 22,524 is: 31,083.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,386.90 : 57,114.10 = 22,524 : x
  2. Step 2: Convert to fraction form
    41,386.90/57,114.10 = 22,524/x
  3. Step 3: Cross multiply
    41,386.90x = 57,114.10 × 22,524
  4. Step 4: Simplify right side
    41,386.90x = 1,286,437,988.40
  5. Step 5: Solve for x
    x = 1,286,437,988.40/41,386.90
  6. Step 6: Final answer
    x = 31,083.22

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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.