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Finding the Fourth Proportional to 33,182.96, 49,758.24 and 14,478.80

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Solution

The fourth proportional to 33,182.96, 49,758.24 and 14,478.80 is: 21,711.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,182.96 : 49,758.24 = 14,478.80 : x
  2. Step 2: Convert to fraction form
    33,182.96/49,758.24 = 14,478.80/x
  3. Step 3: Cross multiply
    33,182.96x = 49,758.24 × 14,478.80
  4. Step 4: Simplify right side
    33,182.96x = 720,439,605.31
  5. Step 5: Solve for x
    x = 720,439,605.31/33,182.96
  6. Step 6: Final answer
    x = 21,711.13

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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.