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Finding the Fourth Proportional to 47,920.90, 66,131.49 and 27,778.90

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Solution

The fourth proportional to 47,920.90, 66,131.49 and 27,778.90 is: 38,335.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,920.90 : 66,131.49 = 27,778.90 : x
  2. Step 2: Convert to fraction form
    47,920.90/66,131.49 = 27,778.90/x
  3. Step 3: Cross multiply
    47,920.90x = 66,131.49 × 27,778.90
  4. Step 4: Simplify right side
    47,920.90x = 1,837,060,047.56
  5. Step 5: Solve for x
    x = 1,837,060,047.56/47,920.90
  6. Step 6: Final answer
    x = 38,335.26

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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.