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Finding the Fourth Proportional to 33,097.82, 49,654.98 and 9,724.26

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Solution

The fourth proportional to 33,097.82, 49,654.98 and 9,724.26 is: 14,588.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,097.82 : 49,654.98 = 9,724.26 : x
  2. Step 2: Convert to fraction form
    33,097.82/49,654.98 = 9,724.26/x
  3. Step 3: Cross multiply
    33,097.82x = 49,654.98 × 9,724.26
  4. Step 4: Simplify right side
    33,097.82x = 482,857,935.81
  5. Step 5: Solve for x
    x = 482,857,935.81/33,097.82
  6. Step 6: Final answer
    x = 14,588.81

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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.