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Finding the Fourth Proportional to 31,996.80, 47,908.80 and 25,027.20

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Solution

The fourth proportional to 31,996.80, 47,908.80 and 25,027.20 is: 37,473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,996.80 : 47,908.80 = 25,027.20 : x
  2. Step 2: Convert to fraction form
    31,996.80/47,908.80 = 25,027.20/x
  3. Step 3: Cross multiply
    31,996.80x = 47,908.80 × 25,027.20
  4. Step 4: Simplify right side
    31,996.80x = 1,199,023,119.36
  5. Step 5: Solve for x
    x = 1,199,023,119.36/31,996.80
  6. Step 6: Final answer
    x = 37,473.22

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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.