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Finding the Fourth Proportional to 47,714.70, 71,572.05 and 27,983.10

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Solution

The fourth proportional to 47,714.70, 71,572.05 and 27,983.10 is: 41,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,714.70 : 71,572.05 = 27,983.10 : x
  2. Step 2: Convert to fraction form
    47,714.70/71,572.05 = 27,983.10/x
  3. Step 3: Cross multiply
    47,714.70x = 71,572.05 × 27,983.10
  4. Step 4: Simplify right side
    47,714.70x = 2,002,807,832.36
  5. Step 5: Solve for x
    x = 2,002,807,832.36/47,714.70
  6. Step 6: Final answer
    x = 41,974.65

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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.