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Finding the Fourth Proportional to 71,894.44, 107,836.42 and 24,505.60

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Solution

The fourth proportional to 71,894.44, 107,836.42 and 24,505.60 is: 36,756.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,894.44 : 107,836.42 = 24,505.60 : x
  2. Step 2: Convert to fraction form
    71,894.44/107,836.42 = 24,505.60/x
  3. Step 3: Cross multiply
    71,894.44x = 107,836.42 × 24,505.60
  4. Step 4: Simplify right side
    71,894.44x = 2,642,596,173.95
  5. Step 5: Solve for x
    x = 2,642,596,173.95/71,894.44
  6. Step 6: Final answer
    x = 36,756.61

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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.