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Finding the Fourth Proportional to 33,103.32, 49,654.97 and 9,729.75

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Solution

The fourth proportional to 33,103.32, 49,654.97 and 9,729.75 is: 14,594.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,103.32 : 49,654.97 = 9,729.75 : x
  2. Step 2: Convert to fraction form
    33,103.32/49,654.97 = 9,729.75/x
  3. Step 3: Cross multiply
    33,103.32x = 49,654.97 × 9,729.75
  4. Step 4: Simplify right side
    33,103.32x = 483,130,395.71
  5. Step 5: Solve for x
    x = 483,130,395.71/33,103.32
  6. Step 6: Final answer
    x = 14,594.62

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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.