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Finding the Fourth Proportional to 48,924.19, 67,517.72 and 27,703

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Solution

The fourth proportional to 48,924.19, 67,517.72 and 27,703 is: 38,231.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,924.19 : 67,517.72 = 27,703 : x
  2. Step 2: Convert to fraction form
    48,924.19/67,517.72 = 27,703/x
  3. Step 3: Cross multiply
    48,924.19x = 67,517.72 × 27,703
  4. Step 4: Simplify right side
    48,924.19x = 1,870,443,397.16
  5. Step 5: Solve for x
    x = 1,870,443,397.16/48,924.19
  6. Step 6: Final answer
    x = 38,231.46

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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.