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Finding the Fourth Proportional to 95,743.69, 143,681.14 and 33,414.19

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Solution

The fourth proportional to 95,743.69, 143,681.14 and 33,414.19 is: 50,144.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,743.69 : 143,681.14 = 33,414.19 : x
  2. Step 2: Convert to fraction form
    95,743.69/143,681.14 = 33,414.19/x
  3. Step 3: Cross multiply
    95,743.69x = 143,681.14 × 33,414.19
  4. Step 4: Simplify right side
    95,743.69x = 4,800,988,593.94
  5. Step 5: Solve for x
    x = 4,800,988,593.94/95,743.69
  6. Step 6: Final answer
    x = 50,144.18

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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.