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Finding the Fourth Proportional to 72,867.65, 109,305.38 and 22,951.64

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Solution

The fourth proportional to 72,867.65, 109,305.38 and 22,951.64 is: 34,428.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,867.65 : 109,305.38 = 22,951.64 : x
  2. Step 2: Convert to fraction form
    72,867.65/109,305.38 = 22,951.64/x
  3. Step 3: Cross multiply
    72,867.65x = 109,305.38 × 22,951.64
  4. Step 4: Simplify right side
    72,867.65x = 2,508,737,070.54
  5. Step 5: Solve for x
    x = 2,508,737,070.54/72,867.65
  6. Step 6: Final answer
    x = 34,428.68

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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.