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Finding the Fourth Proportional to 48,091.90, 66,348 and 27,945.16

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Solution

The fourth proportional to 48,091.90, 66,348 and 27,945.16 is: 38,553.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,091.90 : 66,348 = 27,945.16 : x
  2. Step 2: Convert to fraction form
    48,091.90/66,348 = 27,945.16/x
  3. Step 3: Cross multiply
    48,091.90x = 66,348 × 27,945.16
  4. Step 4: Simplify right side
    48,091.90x = 1,854,105,475.68
  5. Step 5: Solve for x
    x = 1,854,105,475.68/48,091.90
  6. Step 6: Final answer
    x = 38,553.38

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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.