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Finding the Fourth Proportional to 47,712.15, 65,865.18 and 27,565.14

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Solution

The fourth proportional to 47,712.15, 65,865.18 and 27,565.14 is: 38,052.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,712.15 : 65,865.18 = 27,565.14 : x
  2. Step 2: Convert to fraction form
    47,712.15/65,865.18 = 27,565.14/x
  3. Step 3: Cross multiply
    47,712.15x = 65,865.18 × 27,565.14
  4. Step 4: Simplify right side
    47,712.15x = 1,815,582,469.87
  5. Step 5: Solve for x
    x = 1,815,582,469.87/47,712.15
  6. Step 6: Final answer
    x = 38,052.84

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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.