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Finding the Fourth Proportional to 95,742, 143,613 and 43,089.96

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Solution

The fourth proportional to 95,742, 143,613 and 43,089.96 is: 64,634.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,742 : 143,613 = 43,089.96 : x
  2. Step 2: Convert to fraction form
    95,742/143,613 = 43,089.96/x
  3. Step 3: Cross multiply
    95,742x = 143,613 × 43,089.96
  4. Step 4: Simplify right side
    95,742x = 6,188,278,425.48
  5. Step 5: Solve for x
    x = 6,188,278,425.48/95,742
  6. Step 6: Final answer
    x = 64,634.94

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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.