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Finding the Fourth Proportional to 71,356.16, 107,049.90 and 23,969.54

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Solution

The fourth proportional to 71,356.16, 107,049.90 and 23,969.54 is: 35,959.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,356.16 : 107,049.90 = 23,969.54 : x
  2. Step 2: Convert to fraction form
    71,356.16/107,049.90 = 23,969.54/x
  3. Step 3: Cross multiply
    71,356.16x = 107,049.90 × 23,969.54
  4. Step 4: Simplify right side
    71,356.16x = 2,565,936,860.05
  5. Step 5: Solve for x
    x = 2,565,936,860.05/71,356.16
  6. Step 6: Final answer
    x = 35,959.57

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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.