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Finding the Fourth Proportional to 72,959.67, 109,454.13 and 23,044.41

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Solution

The fourth proportional to 72,959.67, 109,454.13 and 23,044.41 is: 34,571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,959.67 : 109,454.13 = 23,044.41 : x
  2. Step 2: Convert to fraction form
    72,959.67/109,454.13 = 23,044.41/x
  3. Step 3: Cross multiply
    72,959.67x = 109,454.13 × 23,044.41
  4. Step 4: Simplify right side
    72,959.67x = 2,522,305,847.91
  5. Step 5: Solve for x
    x = 2,522,305,847.91/72,959.67
  6. Step 6: Final answer
    x = 34,571.23

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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.