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Finding the Fourth Proportional to 72,863.94, 109,299.80 and 22,947.92

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Solution

The fourth proportional to 72,863.94, 109,299.80 and 22,947.92 is: 34,423.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,863.94 : 109,299.80 = 22,947.92 : x
  2. Step 2: Convert to fraction form
    72,863.94/109,299.80 = 22,947.92/x
  3. Step 3: Cross multiply
    72,863.94x = 109,299.80 × 22,947.92
  4. Step 4: Simplify right side
    72,863.94x = 2,508,202,519.92
  5. Step 5: Solve for x
    x = 2,508,202,519.92/72,863.94
  6. Step 6: Final answer
    x = 34,423.10

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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.