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Finding the Fourth Proportional to 39,381.12, 54,342 and 22,380.48

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Solution

The fourth proportional to 39,381.12, 54,342 and 22,380.48 is: 30,882.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,381.12 : 54,342 = 22,380.48 : x
  2. Step 2: Convert to fraction form
    39,381.12/54,342 = 22,380.48/x
  3. Step 3: Cross multiply
    39,381.12x = 54,342 × 22,380.48
  4. Step 4: Simplify right side
    39,381.12x = 1,216,200,044.16
  5. Step 5: Solve for x
    x = 1,216,200,044.16/39,381.12
  6. Step 6: Final answer
    x = 30,882.82

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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.