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Finding the Fourth Proportional to 48,659.39, 67,138.46 and 27,434.55

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Solution

The fourth proportional to 48,659.39, 67,138.46 and 27,434.55 is: 37,853.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,659.39 : 67,138.46 = 27,434.55 : x
  2. Step 2: Convert to fraction form
    48,659.39/67,138.46 = 27,434.55/x
  3. Step 3: Cross multiply
    48,659.39x = 67,138.46 × 27,434.55
  4. Step 4: Simplify right side
    48,659.39x = 1,841,913,506.38
  5. Step 5: Solve for x
    x = 1,841,913,506.38/48,659.39
  6. Step 6: Final answer
    x = 37,853.20

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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.