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Finding the Fourth Proportional to 75,812.75, 113,740.98 and 23,229.98

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Solution

The fourth proportional to 75,812.75, 113,740.98 and 23,229.98 is: 34,851.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,812.75 : 113,740.98 = 23,229.98 : x
  2. Step 2: Convert to fraction form
    75,812.75/113,740.98 = 23,229.98/x
  3. Step 3: Cross multiply
    75,812.75x = 113,740.98 × 23,229.98
  4. Step 4: Simplify right side
    75,812.75x = 2,642,200,121.88
  5. Step 5: Solve for x
    x = 2,642,200,121.88/75,812.75
  6. Step 6: Final answer
    x = 34,851.66

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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.