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Finding the Fourth Proportional to 48,972.50, 67,596.48 and 31,979.38

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Solution

The fourth proportional to 48,972.50, 67,596.48 and 31,979.38 is: 44,140.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,972.50 : 67,596.48 = 31,979.38 : x
  2. Step 2: Convert to fraction form
    48,972.50/67,596.48 = 31,979.38/x
  3. Step 3: Cross multiply
    48,972.50x = 67,596.48 × 31,979.38
  4. Step 4: Simplify right side
    48,972.50x = 2,161,693,520.58
  5. Step 5: Solve for x
    x = 2,161,693,520.58/48,972.50
  6. Step 6: Final answer
    x = 44,140.97

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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.