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Finding the Fourth Proportional to 72,867.53, 109,305.22 and 22,951.54

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Solution

The fourth proportional to 72,867.53, 109,305.22 and 22,951.54 is: 34,428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,867.53 : 109,305.22 = 22,951.54 : x
  2. Step 2: Convert to fraction form
    72,867.53/109,305.22 = 22,951.54/x
  3. Step 3: Cross multiply
    72,867.53x = 109,305.22 × 22,951.54
  4. Step 4: Simplify right side
    72,867.53x = 2,508,722,798.40
  5. Step 5: Solve for x
    x = 2,508,722,798.40/72,867.53
  6. Step 6: Final answer
    x = 34,428.54

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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.