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Finding the Fourth Proportional to 32,280, 44,546.19 and 18,132.54

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Solution

The fourth proportional to 32,280, 44,546.19 and 18,132.54 is: 25,022.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,280 : 44,546.19 = 18,132.54 : x
  2. Step 2: Convert to fraction form
    32,280/44,546.19 = 18,132.54/x
  3. Step 3: Cross multiply
    32,280x = 44,546.19 × 18,132.54
  4. Step 4: Simplify right side
    32,280x = 807,735,572.02
  5. Step 5: Solve for x
    x = 807,735,572.02/32,280
  6. Step 6: Final answer
    x = 25,022.79

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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.