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Finding the Fourth Proportional to 49,209.66, 73,816.14 and 15,930

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Solution

The fourth proportional to 49,209.66, 73,816.14 and 15,930 is: 23,895.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,209.66 : 73,816.14 = 15,930 : x
  2. Step 2: Convert to fraction form
    49,209.66/73,816.14 = 15,930/x
  3. Step 3: Cross multiply
    49,209.66x = 73,816.14 × 15,930
  4. Step 4: Simplify right side
    49,209.66x = 1,175,891,169.94
  5. Step 5: Solve for x
    x = 1,175,891,169.94/49,209.66
  6. Step 6: Final answer
    x = 23,895.54

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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.