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Finding the Fourth Proportional to 85,224.80, 127,691.40 and 54,023.60

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Solution

The fourth proportional to 85,224.80, 127,691.40 and 54,023.60 is: 80,942.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,224.80 : 127,691.40 = 54,023.60 : x
  2. Step 2: Convert to fraction form
    85,224.80/127,691.40 = 54,023.60/x
  3. Step 3: Cross multiply
    85,224.80x = 127,691.40 × 54,023.60
  4. Step 4: Simplify right side
    85,224.80x = 6,898,349,117.04
  5. Step 5: Solve for x
    x = 6,898,349,117.04/85,224.80
  6. Step 6: Final answer
    x = 80,942.98

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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.