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Finding the Fourth Proportional to 38,439.28, 53,046.12 and 21,672.16

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Solution

The fourth proportional to 38,439.28, 53,046.12 and 21,672.16 is: 29,907.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,439.28 : 53,046.12 = 21,672.16 : x
  2. Step 2: Convert to fraction form
    38,439.28/53,046.12 = 21,672.16/x
  3. Step 3: Cross multiply
    38,439.28x = 53,046.12 × 21,672.16
  4. Step 4: Simplify right side
    38,439.28x = 1,149,624,000.02
  5. Step 5: Solve for x
    x = 1,149,624,000.02/38,439.28
  6. Step 6: Final answer
    x = 29,907.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.