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Finding the Fourth Proportional to 24,900.89, 37,358.61 and 8,033.57

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Solution

The fourth proportional to 24,900.89, 37,358.61 and 8,033.57 is: 12,052.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,900.89 : 37,358.61 = 8,033.57 : x
  2. Step 2: Convert to fraction form
    24,900.89/37,358.61 = 8,033.57/x
  3. Step 3: Cross multiply
    24,900.89x = 37,358.61 × 8,033.57
  4. Step 4: Simplify right side
    24,900.89x = 300,122,999.50
  5. Step 5: Solve for x
    x = 300,122,999.50/24,900.89
  6. Step 6: Final answer
    x = 12,052.70

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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.