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Finding the Fourth Proportional to 32,937.62, 49,408 and 10,750.96

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Solution

The fourth proportional to 32,937.62, 49,408 and 10,750.96 is: 16,126.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,937.62 : 49,408 = 10,750.96 : x
  2. Step 2: Convert to fraction form
    32,937.62/49,408 = 10,750.96/x
  3. Step 3: Cross multiply
    32,937.62x = 49,408 × 10,750.96
  4. Step 4: Simplify right side
    32,937.62x = 531,183,431.68
  5. Step 5: Solve for x
    x = 531,183,431.68/32,937.62
  6. Step 6: Final answer
    x = 16,126.95

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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.