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Finding the Fourth Proportional to 48,937.44, 67,534.26 and 27,716.20

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Solution

The fourth proportional to 48,937.44, 67,534.26 and 27,716.20 is: 38,248.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,937.44 : 67,534.26 = 27,716.20 : x
  2. Step 2: Convert to fraction form
    48,937.44/67,534.26 = 27,716.20/x
  3. Step 3: Cross multiply
    48,937.44x = 67,534.26 × 27,716.20
  4. Step 4: Simplify right side
    48,937.44x = 1,871,793,057.01
  5. Step 5: Solve for x
    x = 1,871,793,057.01/48,937.44
  6. Step 6: Final answer
    x = 38,248.69

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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.