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Finding the Fourth Proportional to 95,406, 143,109 and 29,742

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Solution

The fourth proportional to 95,406, 143,109 and 29,742 is: 44,613

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,406 : 143,109 = 29,742 : x
  2. Step 2: Convert to fraction form
    95,406/143,109 = 29,742/x
  3. Step 3: Cross multiply
    95,406x = 143,109 × 29,742
  4. Step 4: Simplify right side
    95,406x = 4,256,347,878
  5. Step 5: Solve for x
    x = 4,256,347,878/95,406
  6. Step 6: Final answer
    x = 44,613

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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.