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Finding the Fourth Proportional to 55,460, 83,139.24 and 20,372.96

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Solution

The fourth proportional to 55,460, 83,139.24 and 20,372.96 is: 30,540.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,460 : 83,139.24 = 20,372.96 : x
  2. Step 2: Convert to fraction form
    55,460/83,139.24 = 20,372.96/x
  3. Step 3: Cross multiply
    55,460x = 83,139.24 × 20,372.96
  4. Step 4: Simplify right side
    55,460x = 1,693,792,410.95
  5. Step 5: Solve for x
    x = 1,693,792,410.95/55,460
  6. Step 6: Final answer
    x = 30,540.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.