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Finding the Fourth Proportional to 73,694.86, 110,449.80 and 31,525.36

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Solution

The fourth proportional to 73,694.86, 110,449.80 and 31,525.36 is: 47,248.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,694.86 : 110,449.80 = 31,525.36 : x
  2. Step 2: Convert to fraction form
    73,694.86/110,449.80 = 31,525.36/x
  3. Step 3: Cross multiply
    73,694.86x = 110,449.80 × 31,525.36
  4. Step 4: Simplify right side
    73,694.86x = 3,481,969,706.93
  5. Step 5: Solve for x
    x = 3,481,969,706.93/73,694.86
  6. Step 6: Final answer
    x = 47,248.47

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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.