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Finding the Fourth Proportional to 33,098.74, 49,651.76 and 9,727

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Solution

The fourth proportional to 33,098.74, 49,651.76 and 9,727 is: 14,591.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,098.74 : 49,651.76 = 9,727 : x
  2. Step 2: Convert to fraction form
    33,098.74/49,651.76 = 9,727/x
  3. Step 3: Cross multiply
    33,098.74x = 49,651.76 × 9,727
  4. Step 4: Simplify right side
    33,098.74x = 482,962,669.52
  5. Step 5: Solve for x
    x = 482,962,669.52/33,098.74
  6. Step 6: Final answer
    x = 14,591.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.