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Finding the Fourth Proportional to 33,211.20, 49,823.28 and 9,837.84

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Solution

The fourth proportional to 33,211.20, 49,823.28 and 9,837.84 is: 14,758.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,211.20 : 49,823.28 = 9,837.84 : x
  2. Step 2: Convert to fraction form
    33,211.20/49,823.28 = 9,837.84/x
  3. Step 3: Cross multiply
    33,211.20x = 49,823.28 × 9,837.84
  4. Step 4: Simplify right side
    33,211.20x = 490,153,456.92
  5. Step 5: Solve for x
    x = 490,153,456.92/33,211.20
  6. Step 6: Final answer
    x = 14,758.68

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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.