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Finding the Fourth Proportional to 48,605.50, 67,104.75 and 31,867.66

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Solution

The fourth proportional to 48,605.50, 67,104.75 and 31,867.66 is: 43,996.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,605.50 : 67,104.75 = 31,867.66 : x
  2. Step 2: Convert to fraction form
    48,605.50/67,104.75 = 31,867.66/x
  3. Step 3: Cross multiply
    48,605.50x = 67,104.75 × 31,867.66
  4. Step 4: Simplify right side
    48,605.50x = 2,138,471,357.39
  5. Step 5: Solve for x
    x = 2,138,471,357.39/48,605.50
  6. Step 6: Final answer
    x = 43,996.49

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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.