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Finding the Fourth Proportional to 32,147.34, 48,220.56 and 19,500.11

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Solution

The fourth proportional to 32,147.34, 48,220.56 and 19,500.11 is: 29,249.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,147.34 : 48,220.56 = 19,500.11 : x
  2. Step 2: Convert to fraction form
    32,147.34/48,220.56 = 19,500.11/x
  3. Step 3: Cross multiply
    32,147.34x = 48,220.56 × 19,500.11
  4. Step 4: Simplify right side
    32,147.34x = 940,305,983.16
  5. Step 5: Solve for x
    x = 940,305,983.16/32,147.34
  6. Step 6: Final answer
    x = 29,249.88

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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.