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Finding the Fourth Proportional to 33,616.65, 50,416.58 and 9,919.50

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Solution

The fourth proportional to 33,616.65, 50,416.58 and 9,919.50 is: 14,876.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,616.65 : 50,416.58 = 9,919.50 : x
  2. Step 2: Convert to fraction form
    33,616.65/50,416.58 = 9,919.50/x
  3. Step 3: Cross multiply
    33,616.65x = 50,416.58 × 9,919.50
  4. Step 4: Simplify right side
    33,616.65x = 500,107,045.25
  5. Step 5: Solve for x
    x = 500,107,045.25/33,616.65
  6. Step 6: Final answer
    x = 14,876.76

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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.