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Finding the Fourth Proportional to 55,101.60, 82,652.40 and 54,583.20

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Solution

The fourth proportional to 55,101.60, 82,652.40 and 54,583.20 is: 81,874.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,101.60 : 82,652.40 = 54,583.20 : x
  2. Step 2: Convert to fraction form
    55,101.60/82,652.40 = 54,583.20/x
  3. Step 3: Cross multiply
    55,101.60x = 82,652.40 × 54,583.20
  4. Step 4: Simplify right side
    55,101.60x = 4,511,432,479.68
  5. Step 5: Solve for x
    x = 4,511,432,479.68/55,101.60
  6. Step 6: Final answer
    x = 81,874.80

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Why These Related Problems?

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