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Finding the Fourth Proportional to 48,652.74, 67,138.74 and 27,433.98

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Solution

The fourth proportional to 48,652.74, 67,138.74 and 27,433.98 is: 37,857.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,652.74 : 67,138.74 = 27,433.98 : x
  2. Step 2: Convert to fraction form
    48,652.74/67,138.74 = 27,433.98/x
  3. Step 3: Cross multiply
    48,652.74x = 67,138.74 × 27,433.98
  4. Step 4: Simplify right side
    48,652.74x = 1,841,882,850.39
  5. Step 5: Solve for x
    x = 1,841,882,850.39/48,652.74
  6. Step 6: Final answer
    x = 37,857.74

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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.