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Finding the Fourth Proportional to 33,196.80, 49,813.42 and 15,666.17

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Solution

The fourth proportional to 33,196.80, 49,813.42 and 15,666.17 is: 23,507.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,196.80 : 49,813.42 = 15,666.17 : x
  2. Step 2: Convert to fraction form
    33,196.80/49,813.42 = 15,666.17/x
  3. Step 3: Cross multiply
    33,196.80x = 49,813.42 × 15,666.17
  4. Step 4: Simplify right side
    33,196.80x = 780,385,506.00
  5. Step 5: Solve for x
    x = 780,385,506.00/33,196.80
  6. Step 6: Final answer
    x = 23,507.85

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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.