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Finding the Fourth Proportional to 24,329, 36,493.50 and 5,861

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Solution

The fourth proportional to 24,329, 36,493.50 and 5,861 is: 8,791.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,329 : 36,493.50 = 5,861 : x
  2. Step 2: Convert to fraction form
    24,329/36,493.50 = 5,861/x
  3. Step 3: Cross multiply
    24,329x = 36,493.50 × 5,861
  4. Step 4: Simplify right side
    24,329x = 213,888,403.50
  5. Step 5: Solve for x
    x = 213,888,403.50/24,329
  6. Step 6: Final answer
    x = 8,791.50

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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.