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Finding the Fourth Proportional to 32,171.52, 48,257.28 and 15,744

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Solution

The fourth proportional to 32,171.52, 48,257.28 and 15,744 is: 23,616.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,171.52 : 48,257.28 = 15,744 : x
  2. Step 2: Convert to fraction form
    32,171.52/48,257.28 = 15,744/x
  3. Step 3: Cross multiply
    32,171.52x = 48,257.28 × 15,744
  4. Step 4: Simplify right side
    32,171.52x = 759,762,616.32
  5. Step 5: Solve for x
    x = 759,762,616.32/32,171.52
  6. Step 6: Final answer
    x = 23,616.00

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Why These Related Problems?

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