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Finding the Fourth Proportional to 48,891.61, 67,471.50 and 27,670.87

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Solution

The fourth proportional to 48,891.61, 67,471.50 and 27,670.87 is: 38,186.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,891.61 : 67,471.50 = 27,670.87 : x
  2. Step 2: Convert to fraction form
    48,891.61/67,471.50 = 27,670.87/x
  3. Step 3: Cross multiply
    48,891.61x = 67,471.50 × 27,670.87
  4. Step 4: Simplify right side
    48,891.61x = 1,866,995,105.21
  5. Step 5: Solve for x
    x = 1,866,995,105.21/48,891.61
  6. Step 6: Final answer
    x = 38,186.41

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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.