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Finding the Fourth Proportional to 73,525.75, 110,288.64 and 31,972.75

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Solution

The fourth proportional to 73,525.75, 110,288.64 and 31,972.75 is: 47,959.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,525.75 : 110,288.64 = 31,972.75 : x
  2. Step 2: Convert to fraction form
    73,525.75/110,288.64 = 31,972.75/x
  3. Step 3: Cross multiply
    73,525.75x = 110,288.64 × 31,972.75
  4. Step 4: Simplify right side
    73,525.75x = 3,526,231,114.56
  5. Step 5: Solve for x
    x = 3,526,231,114.56/73,525.75
  6. Step 6: Final answer
    x = 47,959.13

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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.