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Finding the Fourth Proportional to 33,151.66, 49,735.38 and 9,778.10

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Solution

The fourth proportional to 33,151.66, 49,735.38 and 9,778.10 is: 14,669.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,151.66 : 49,735.38 = 9,778.10 : x
  2. Step 2: Convert to fraction form
    33,151.66/49,735.38 = 9,778.10/x
  3. Step 3: Cross multiply
    33,151.66x = 49,735.38 × 9,778.10
  4. Step 4: Simplify right side
    33,151.66x = 486,317,519.18
  5. Step 5: Solve for x
    x = 486,317,519.18/33,151.66
  6. Step 6: Final answer
    x = 14,669.48

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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.