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Finding the Fourth Proportional to 47,222.92, 65,167.57 and 26,002

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Solution

The fourth proportional to 47,222.92, 65,167.57 and 26,002 is: 35,882.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,222.92 : 65,167.57 = 26,002 : x
  2. Step 2: Convert to fraction form
    47,222.92/65,167.57 = 26,002/x
  3. Step 3: Cross multiply
    47,222.92x = 65,167.57 × 26,002
  4. Step 4: Simplify right side
    47,222.92x = 1,694,487,155.14
  5. Step 5: Solve for x
    x = 1,694,487,155.14/47,222.92
  6. Step 6: Final answer
    x = 35,882.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.