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Finding the Fourth Proportional to 47,839.50, 71,770.77 and 15,007.50

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Solution

The fourth proportional to 47,839.50, 71,770.77 and 15,007.50 is: 22,514.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,839.50 : 71,770.77 = 15,007.50 : x
  2. Step 2: Convert to fraction form
    47,839.50/71,770.77 = 15,007.50/x
  3. Step 3: Cross multiply
    47,839.50x = 71,770.77 × 15,007.50
  4. Step 4: Simplify right side
    47,839.50x = 1,077,099,830.78
  5. Step 5: Solve for x
    x = 1,077,099,830.78/47,839.50
  6. Step 6: Final answer
    x = 22,514.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.