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Finding the Fourth Proportional to 85,724.80, 128,673.60 and 41,387.20

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Solution

The fourth proportional to 85,724.80, 128,673.60 and 41,387.20 is: 62,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,724.80 : 128,673.60 = 41,387.20 : x
  2. Step 2: Convert to fraction form
    85,724.80/128,673.60 = 41,387.20/x
  3. Step 3: Cross multiply
    85,724.80x = 128,673.60 × 41,387.20
  4. Step 4: Simplify right side
    85,724.80x = 5,325,440,017.92
  5. Step 5: Solve for x
    x = 5,325,440,017.92/85,724.80
  6. Step 6: Final answer
    x = 62,122.51

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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.