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Finding the Fourth Proportional to 48,893.74, 67,471.32 and 27,674.18

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Solution

The fourth proportional to 48,893.74, 67,471.32 and 27,674.18 is: 38,189.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,893.74 : 67,471.32 = 27,674.18 : x
  2. Step 2: Convert to fraction form
    48,893.74/67,471.32 = 27,674.18/x
  3. Step 3: Cross multiply
    48,893.74x = 67,471.32 × 27,674.18
  4. Step 4: Simplify right side
    48,893.74x = 1,867,213,454.52
  5. Step 5: Solve for x
    x = 1,867,213,454.52/48,893.74
  6. Step 6: Final answer
    x = 38,189.21

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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.