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Finding the Fourth Proportional to 73,694.59, 110,449.45 and 31,525.18

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Solution

The fourth proportional to 73,694.59, 110,449.45 and 31,525.18 is: 47,248.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,694.59 : 110,449.45 = 31,525.18 : x
  2. Step 2: Convert to fraction form
    73,694.59/110,449.45 = 31,525.18/x
  3. Step 3: Cross multiply
    73,694.59x = 110,449.45 × 31,525.18
  4. Step 4: Simplify right side
    73,694.59x = 3,481,938,792.15
  5. Step 5: Solve for x
    x = 3,481,938,792.15/73,694.59
  6. Step 6: Final answer
    x = 47,248.23

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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.