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Finding the Fourth Proportional to 47,952.33, 66,180.63 and 27,542.43

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Solution

The fourth proportional to 47,952.33, 66,180.63 and 27,542.43 is: 38,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,952.33 : 66,180.63 = 27,542.43 : x
  2. Step 2: Convert to fraction form
    47,952.33/66,180.63 = 27,542.43/x
  3. Step 3: Cross multiply
    47,952.33x = 66,180.63 × 27,542.43
  4. Step 4: Simplify right side
    47,952.33x = 1,822,775,369.13
  5. Step 5: Solve for x
    x = 1,822,775,369.13/47,952.33
  6. Step 6: Final answer
    x = 38,012.24

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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.