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Finding the Fourth Proportional to 54,284.80, 74,920.38 and 31,630.88

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Solution

The fourth proportional to 54,284.80, 74,920.38 and 31,630.88 is: 43,654.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,284.80 : 74,920.38 = 31,630.88 : x
  2. Step 2: Convert to fraction form
    54,284.80/74,920.38 = 31,630.88/x
  3. Step 3: Cross multiply
    54,284.80x = 74,920.38 × 31,630.88
  4. Step 4: Simplify right side
    54,284.80x = 2,369,797,549.33
  5. Step 5: Solve for x
    x = 2,369,797,549.33/54,284.80
  6. Step 6: Final answer
    x = 43,654.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.