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Finding the Fourth Proportional to 72,344.84, 108,517.32 and 19,754.78

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Solution

The fourth proportional to 72,344.84, 108,517.32 and 19,754.78 is: 29,632.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,344.84 : 108,517.32 = 19,754.78 : x
  2. Step 2: Convert to fraction form
    72,344.84/108,517.32 = 19,754.78/x
  3. Step 3: Cross multiply
    72,344.84x = 108,517.32 × 19,754.78
  4. Step 4: Simplify right side
    72,344.84x = 2,143,735,240.20
  5. Step 5: Solve for x
    x = 2,143,735,240.20/72,344.84
  6. Step 6: Final answer
    x = 29,632.18

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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.