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Finding the Fourth Proportional to 48,944.76, 67,543.81 and 27,724.02

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Solution

The fourth proportional to 48,944.76, 67,543.81 and 27,724.02 is: 38,259.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,944.76 : 67,543.81 = 27,724.02 : x
  2. Step 2: Convert to fraction form
    48,944.76/67,543.81 = 27,724.02/x
  3. Step 3: Cross multiply
    48,944.76x = 67,543.81 × 27,724.02
  4. Step 4: Simplify right side
    48,944.76x = 1,872,585,996.65
  5. Step 5: Solve for x
    x = 1,872,585,996.65/48,944.76
  6. Step 6: Final answer
    x = 38,259.18

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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.