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Finding the Fourth Proportional to 95,159.75, 142,751.88 and 31,952.70

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Solution

The fourth proportional to 95,159.75, 142,751.88 and 31,952.70 is: 47,933.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,159.75 : 142,751.88 = 31,952.70 : x
  2. Step 2: Convert to fraction form
    95,159.75/142,751.88 = 31,952.70/x
  3. Step 3: Cross multiply
    95,159.75x = 142,751.88 × 31,952.70
  4. Step 4: Simplify right side
    95,159.75x = 4,561,307,996.08
  5. Step 5: Solve for x
    x = 4,561,307,996.08/95,159.75
  6. Step 6: Final answer
    x = 47,933.17

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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.