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Finding the Fourth Proportional to 33,073.30, 49,616.78 and 10,888

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Solution

The fourth proportional to 33,073.30, 49,616.78 and 10,888 is: 16,334.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,073.30 : 49,616.78 = 10,888 : x
  2. Step 2: Convert to fraction form
    33,073.30/49,616.78 = 10,888/x
  3. Step 3: Cross multiply
    33,073.30x = 49,616.78 × 10,888
  4. Step 4: Simplify right side
    33,073.30x = 540,227,500.64
  5. Step 5: Solve for x
    x = 540,227,500.64/33,073.30
  6. Step 6: Final answer
    x = 16,334.25

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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.