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Finding the Fourth Proportional to 54,966.60, 82,449.90 and 34,230.60

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Solution

The fourth proportional to 54,966.60, 82,449.90 and 34,230.60 is: 51,345.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,966.60 : 82,449.90 = 34,230.60 : x
  2. Step 2: Convert to fraction form
    54,966.60/82,449.90 = 34,230.60/x
  3. Step 3: Cross multiply
    54,966.60x = 82,449.90 × 34,230.60
  4. Step 4: Simplify right side
    54,966.60x = 2,822,309,546.94
  5. Step 5: Solve for x
    x = 2,822,309,546.94/54,966.60
  6. Step 6: Final answer
    x = 51,345.90

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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.