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Finding the Fourth Proportional to 32,399.90, 48,529.52 and 15,724.88

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Solution

The fourth proportional to 32,399.90, 48,529.52 and 15,724.88 is: 23,553.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,399.90 : 48,529.52 = 15,724.88 : x
  2. Step 2: Convert to fraction form
    32,399.90/48,529.52 = 15,724.88/x
  3. Step 3: Cross multiply
    32,399.90x = 48,529.52 × 15,724.88
  4. Step 4: Simplify right side
    32,399.90x = 763,120,921.16
  5. Step 5: Solve for x
    x = 763,120,921.16/32,399.90
  6. Step 6: Final answer
    x = 23,553.19

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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.