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Finding the Fourth Proportional to 26,761.50, 40,144.32 and 8,040.07

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Solution

The fourth proportional to 26,761.50, 40,144.32 and 8,040.07 is: 12,060.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,761.50 : 40,144.32 = 8,040.07 : x
  2. Step 2: Convert to fraction form
    26,761.50/40,144.32 = 8,040.07/x
  3. Step 3: Cross multiply
    26,761.50x = 40,144.32 × 8,040.07
  4. Step 4: Simplify right side
    26,761.50x = 322,762,942.18
  5. Step 5: Solve for x
    x = 322,762,942.18/26,761.50
  6. Step 6: Final answer
    x = 12,060.72

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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.