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Finding the Fourth Proportional to 32,944.64, 49,408.16 and 9,250.80

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Solution

The fourth proportional to 32,944.64, 49,408.16 and 9,250.80 is: 13,873.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,944.64 : 49,408.16 = 9,250.80 : x
  2. Step 2: Convert to fraction form
    32,944.64/49,408.16 = 9,250.80/x
  3. Step 3: Cross multiply
    32,944.64x = 49,408.16 × 9,250.80
  4. Step 4: Simplify right side
    32,944.64x = 457,065,006.53
  5. Step 5: Solve for x
    x = 457,065,006.53/32,944.64
  6. Step 6: Final answer
    x = 13,873.73

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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.