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Finding the Fourth Proportional to 38,414.40, 57,686.40 and 25,324.80

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Solution

The fourth proportional to 38,414.40, 57,686.40 and 25,324.80 is: 38,029.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,414.40 : 57,686.40 = 25,324.80 : x
  2. Step 2: Convert to fraction form
    38,414.40/57,686.40 = 25,324.80/x
  3. Step 3: Cross multiply
    38,414.40x = 57,686.40 × 25,324.80
  4. Step 4: Simplify right side
    38,414.40x = 1,460,896,542.72
  5. Step 5: Solve for x
    x = 1,460,896,542.72/38,414.40
  6. Step 6: Final answer
    x = 38,029.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.