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Finding the Fourth Proportional to 73,866.64, 110,812.92 and 31,772.56

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Solution

The fourth proportional to 73,866.64, 110,812.92 and 31,772.56 is: 47,664.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,866.64 : 110,812.92 = 31,772.56 : x
  2. Step 2: Convert to fraction form
    73,866.64/110,812.92 = 31,772.56/x
  3. Step 3: Cross multiply
    73,866.64x = 110,812.92 × 31,772.56
  4. Step 4: Simplify right side
    73,866.64x = 3,520,810,149.48
  5. Step 5: Solve for x
    x = 3,520,810,149.48/73,866.64
  6. Step 6: Final answer
    x = 47,664.41

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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.