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Finding the Fourth Proportional to 24,311.50, 36,481.59 and 10,270.61

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Solution

The fourth proportional to 24,311.50, 36,481.59 and 10,270.61 is: 15,411.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,311.50 : 36,481.59 = 10,270.61 : x
  2. Step 2: Convert to fraction form
    24,311.50/36,481.59 = 10,270.61/x
  3. Step 3: Cross multiply
    24,311.50x = 36,481.59 × 10,270.61
  4. Step 4: Simplify right side
    24,311.50x = 374,688,183.07
  5. Step 5: Solve for x
    x = 374,688,183.07/24,311.50
  6. Step 6: Final answer
    x = 15,411.98

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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.