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Finding the Fourth Proportional to 34,378.48, 47,439.84 and 20,229.40

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Solution

The fourth proportional to 34,378.48, 47,439.84 and 20,229.40 is: 27,915.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,378.48 : 47,439.84 = 20,229.40 : x
  2. Step 2: Convert to fraction form
    34,378.48/47,439.84 = 20,229.40/x
  3. Step 3: Cross multiply
    34,378.48x = 47,439.84 × 20,229.40
  4. Step 4: Simplify right side
    34,378.48x = 959,679,499.30
  5. Step 5: Solve for x
    x = 959,679,499.30/34,378.48
  6. Step 6: Final answer
    x = 27,915.12

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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.