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Finding the Fourth Proportional to 55,728.85, 83,724.50 and 45,406.21

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Solution

The fourth proportional to 55,728.85, 83,724.50 and 45,406.21 is: 68,216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,728.85 : 83,724.50 = 45,406.21 : x
  2. Step 2: Convert to fraction form
    55,728.85/83,724.50 = 45,406.21/x
  3. Step 3: Cross multiply
    55,728.85x = 83,724.50 × 45,406.21
  4. Step 4: Simplify right side
    55,728.85x = 3,801,612,229.15
  5. Step 5: Solve for x
    x = 3,801,612,229.15/55,728.85
  6. Step 6: Final answer
    x = 68,216.23

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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.