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Finding the Fourth Proportional to 41,142.67, 61,714.03 and 9,977.92

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Solution

The fourth proportional to 41,142.67, 61,714.03 and 9,977.92 is: 14,966.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,142.67 : 61,714.03 = 9,977.92 : x
  2. Step 2: Convert to fraction form
    41,142.67/61,714.03 = 9,977.92/x
  3. Step 3: Cross multiply
    41,142.67x = 61,714.03 × 9,977.92
  4. Step 4: Simplify right side
    41,142.67x = 615,777,654.22
  5. Step 5: Solve for x
    x = 615,777,654.22/41,142.67
  6. Step 6: Final answer
    x = 14,966.89

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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.