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Finding the Fourth Proportional to 32,132.20, 44,358.54 and 20,202.13

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Solution

The fourth proportional to 32,132.20, 44,358.54 and 20,202.13 is: 27,889.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,132.20 : 44,358.54 = 20,202.13 : x
  2. Step 2: Convert to fraction form
    32,132.20/44,358.54 = 20,202.13/x
  3. Step 3: Cross multiply
    32,132.20x = 44,358.54 × 20,202.13
  4. Step 4: Simplify right side
    32,132.20x = 896,136,991.69
  5. Step 5: Solve for x
    x = 896,136,991.69/32,132.20
  6. Step 6: Final answer
    x = 27,889.06

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