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Finding the Fourth Proportional to 108,002.42, 162,026.68 and 41,442

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Solution

The fourth proportional to 108,002.42, 162,026.68 and 41,442 is: 62,171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,002.42 : 162,026.68 = 41,442 : x
  2. Step 2: Convert to fraction form
    108,002.42/162,026.68 = 41,442/x
  3. Step 3: Cross multiply
    108,002.42x = 162,026.68 × 41,442
  4. Step 4: Simplify right side
    108,002.42x = 6,714,709,672.56
  5. Step 5: Solve for x
    x = 6,714,709,672.56/108,002.42
  6. Step 6: Final answer
    x = 62,171.84

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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.