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Finding the Fourth Proportional to 108,452.16, 162,679.68 and 55,834.56

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Solution

The fourth proportional to 108,452.16, 162,679.68 and 55,834.56 is: 83,752.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,452.16 : 162,679.68 = 55,834.56 : x
  2. Step 2: Convert to fraction form
    108,452.16/162,679.68 = 55,834.56/x
  3. Step 3: Cross multiply
    108,452.16x = 162,679.68 × 55,834.56
  4. Step 4: Simplify right side
    108,452.16x = 9,083,148,353.74
  5. Step 5: Solve for x
    x = 9,083,148,353.74/108,452.16
  6. Step 6: Final answer
    x = 83,752.58

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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.