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Finding the Fourth Proportional to 105,959.80, 158,922.22 and 34,883.38

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Solution

The fourth proportional to 105,959.80, 158,922.22 and 34,883.38 is: 52,319.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,959.80 : 158,922.22 = 34,883.38 : x
  2. Step 2: Convert to fraction form
    105,959.80/158,922.22 = 34,883.38/x
  3. Step 3: Cross multiply
    105,959.80x = 158,922.22 × 34,883.38
  4. Step 4: Simplify right side
    105,959.80x = 5,543,744,190.70
  5. Step 5: Solve for x
    x = 5,543,744,190.70/105,959.80
  6. Step 6: Final answer
    x = 52,319.32

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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.