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Finding the Fourth Proportional to 24,379, 36,568.50 and 5,911

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Solution

The fourth proportional to 24,379, 36,568.50 and 5,911 is: 8,866.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,379 : 36,568.50 = 5,911 : x
  2. Step 2: Convert to fraction form
    24,379/36,568.50 = 5,911/x
  3. Step 3: Cross multiply
    24,379x = 36,568.50 × 5,911
  4. Step 4: Simplify right side
    24,379x = 216,156,403.50
  5. Step 5: Solve for x
    x = 216,156,403.50/24,379
  6. Step 6: Final answer
    x = 8,866.50

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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.