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Finding the Fourth Proportional to 72,797.27, 109,206.93 and 22,872.68

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Solution

The fourth proportional to 72,797.27, 109,206.93 and 22,872.68 is: 34,312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,797.27 : 109,206.93 = 22,872.68 : x
  2. Step 2: Convert to fraction form
    72,797.27/109,206.93 = 22,872.68/x
  3. Step 3: Cross multiply
    72,797.27x = 109,206.93 × 22,872.68
  4. Step 4: Simplify right side
    72,797.27x = 2,497,855,112.94
  5. Step 5: Solve for x
    x = 2,497,855,112.94/72,797.27
  6. Step 6: Final answer
    x = 34,312.49

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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.