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Finding the Fourth Proportional to 33,234.24, 49,858.56 and 9,860

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Solution

The fourth proportional to 33,234.24, 49,858.56 and 9,860 is: 14,792.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,234.24 : 49,858.56 = 9,860 : x
  2. Step 2: Convert to fraction form
    33,234.24/49,858.56 = 9,860/x
  3. Step 3: Cross multiply
    33,234.24x = 49,858.56 × 9,860
  4. Step 4: Simplify right side
    33,234.24x = 491,605,401.60
  5. Step 5: Solve for x
    x = 491,605,401.60/33,234.24
  6. Step 6: Final answer
    x = 14,792.14

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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.