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Finding the Fourth Proportional to 47,540.32, 65,612.84 and 27,400.20

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Solution

The fourth proportional to 47,540.32, 65,612.84 and 27,400.20 is: 37,816.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,540.32 : 65,612.84 = 27,400.20 : x
  2. Step 2: Convert to fraction form
    47,540.32/65,612.84 = 27,400.20/x
  3. Step 3: Cross multiply
    47,540.32x = 65,612.84 × 27,400.20
  4. Step 4: Simplify right side
    47,540.32x = 1,797,804,938.57
  5. Step 5: Solve for x
    x = 1,797,804,938.57/47,540.32
  6. Step 6: Final answer
    x = 37,816.42

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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.