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Finding the Fourth Proportional to 40,491.75, 55,883.49 and 23,724.75

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Solution

The fourth proportional to 40,491.75, 55,883.49 and 23,724.75 is: 32,743.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,491.75 : 55,883.49 = 23,724.75 : x
  2. Step 2: Convert to fraction form
    40,491.75/55,883.49 = 23,724.75/x
  3. Step 3: Cross multiply
    40,491.75x = 55,883.49 × 23,724.75
  4. Step 4: Simplify right side
    40,491.75x = 1,325,821,829.38
  5. Step 5: Solve for x
    x = 1,325,821,829.38/40,491.75
  6. Step 6: Final answer
    x = 32,743.01

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Why These Related Problems?

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