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Finding the Fourth Proportional to 95,255.80, 142,865.48 and 47,857.75

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Solution

The fourth proportional to 95,255.80, 142,865.48 and 47,857.75 is: 71,777.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,255.80 : 142,865.48 = 47,857.75 : x
  2. Step 2: Convert to fraction form
    95,255.80/142,865.48 = 47,857.75/x
  3. Step 3: Cross multiply
    95,255.80x = 142,865.48 × 47,857.75
  4. Step 4: Simplify right side
    95,255.80x = 6,837,220,425.47
  5. Step 5: Solve for x
    x = 6,837,220,425.47/95,255.80
  6. Step 6: Final answer
    x = 71,777.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.