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Finding the Fourth Proportional to 54,964.80, 82,447.20 and 35,281.80

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Solution

The fourth proportional to 54,964.80, 82,447.20 and 35,281.80 is: 52,922.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,964.80 : 82,447.20 = 35,281.80 : x
  2. Step 2: Convert to fraction form
    54,964.80/82,447.20 = 35,281.80/x
  3. Step 3: Cross multiply
    54,964.80x = 82,447.20 × 35,281.80
  4. Step 4: Simplify right side
    54,964.80x = 2,908,885,620.96
  5. Step 5: Solve for x
    x = 2,908,885,620.96/54,964.80
  6. Step 6: Final answer
    x = 52,922.70

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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.