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Finding the Fourth Proportional to 55,474.08, 83,216.40 and 20,414.40

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Solution

The fourth proportional to 55,474.08, 83,216.40 and 20,414.40 is: 30,623.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,474.08 : 83,216.40 = 20,414.40 : x
  2. Step 2: Convert to fraction form
    55,474.08/83,216.40 = 20,414.40/x
  3. Step 3: Cross multiply
    55,474.08x = 83,216.40 × 20,414.40
  4. Step 4: Simplify right side
    55,474.08x = 1,698,812,876.16
  5. Step 5: Solve for x
    x = 1,698,812,876.16/55,474.08
  6. Step 6: Final answer
    x = 30,623.54

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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.