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Finding the Fourth Proportional to 33,091.48, 49,644.10 and 9,715.80

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Solution

The fourth proportional to 33,091.48, 49,644.10 and 9,715.80 is: 14,575.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,091.48 : 49,644.10 = 9,715.80 : x
  2. Step 2: Convert to fraction form
    33,091.48/49,644.10 = 9,715.80/x
  3. Step 3: Cross multiply
    33,091.48x = 49,644.10 × 9,715.80
  4. Step 4: Simplify right side
    33,091.48x = 482,332,146.78
  5. Step 5: Solve for x
    x = 482,332,146.78/33,091.48
  6. Step 6: Final answer
    x = 14,575.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.