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Finding the Fourth Proportional to 47,154.12, 65,044.11 and 28,027.20

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Solution

The fourth proportional to 47,154.12, 65,044.11 and 28,027.20 is: 38,660.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,154.12 : 65,044.11 = 28,027.20 : x
  2. Step 2: Convert to fraction form
    47,154.12/65,044.11 = 28,027.20/x
  3. Step 3: Cross multiply
    47,154.12x = 65,044.11 × 28,027.20
  4. Step 4: Simplify right side
    47,154.12x = 1,823,004,279.79
  5. Step 5: Solve for x
    x = 1,823,004,279.79/47,154.12
  6. Step 6: Final answer
    x = 38,660.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.