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Finding the Fourth Proportional to 73,517.78, 110,276.64 and 31,964.78

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Solution

The fourth proportional to 73,517.78, 110,276.64 and 31,964.78 is: 47,947.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,517.78 : 110,276.64 = 31,964.78 : x
  2. Step 2: Convert to fraction form
    73,517.78/110,276.64 = 31,964.78/x
  3. Step 3: Cross multiply
    73,517.78x = 110,276.64 × 31,964.78
  4. Step 4: Simplify right side
    73,517.78x = 3,524,968,536.74
  5. Step 5: Solve for x
    x = 3,524,968,536.74/73,517.78
  6. Step 6: Final answer
    x = 47,947.16

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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.