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Finding the Fourth Proportional to 33,129.84, 49,677.60 and 9,753.20

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Solution

The fourth proportional to 33,129.84, 49,677.60 and 9,753.20 is: 14,624.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,129.84 : 49,677.60 = 9,753.20 : x
  2. Step 2: Convert to fraction form
    33,129.84/49,677.60 = 9,753.20/x
  3. Step 3: Cross multiply
    33,129.84x = 49,677.60 × 9,753.20
  4. Step 4: Simplify right side
    33,129.84x = 484,515,568.32
  5. Step 5: Solve for x
    x = 484,515,568.32/33,129.84
  6. Step 6: Final answer
    x = 14,624.75

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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.