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Finding the Fourth Proportional to 47,229.56, 70,844.24 and 32,393.48

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Solution

The fourth proportional to 47,229.56, 70,844.24 and 32,393.48 is: 48,590.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,229.56 : 70,844.24 = 32,393.48 : x
  2. Step 2: Convert to fraction form
    47,229.56/70,844.24 = 32,393.48/x
  3. Step 3: Cross multiply
    47,229.56x = 70,844.24 × 32,393.48
  4. Step 4: Simplify right side
    47,229.56x = 2,294,891,471.56
  5. Step 5: Solve for x
    x = 2,294,891,471.56/47,229.56
  6. Step 6: Final answer
    x = 48,590.15

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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.