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Finding the Fourth Proportional to 32,132.40, 44,282.61 and 23,164.62

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Solution

The fourth proportional to 32,132.40, 44,282.61 and 23,164.62 is: 31,923.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,132.40 : 44,282.61 = 23,164.62 : x
  2. Step 2: Convert to fraction form
    32,132.40/44,282.61 = 23,164.62/x
  3. Step 3: Cross multiply
    32,132.40x = 44,282.61 × 23,164.62
  4. Step 4: Simplify right side
    32,132.40x = 1,025,789,833.26
  5. Step 5: Solve for x
    x = 1,025,789,833.26/32,132.40
  6. Step 6: Final answer
    x = 31,923.85

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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.