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Finding the Fourth Proportional to 38,272.32, 57,399.84 and 13,648.32

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Solution

The fourth proportional to 38,272.32, 57,399.84 and 13,648.32 is: 20,469.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,272.32 : 57,399.84 = 13,648.32 : x
  2. Step 2: Convert to fraction form
    38,272.32/57,399.84 = 13,648.32/x
  3. Step 3: Cross multiply
    38,272.32x = 57,399.84 × 13,648.32
  4. Step 4: Simplify right side
    38,272.32x = 783,411,384.27
  5. Step 5: Solve for x
    x = 783,411,384.27/38,272.32
  6. Step 6: Final answer
    x = 20,469.40

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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.