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Finding the Fourth Proportional to 33,141.14, 49,704.20 and 9,448.16

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Solution

The fourth proportional to 33,141.14, 49,704.20 and 9,448.16 is: 14,170.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,141.14 : 49,704.20 = 9,448.16 : x
  2. Step 2: Convert to fraction form
    33,141.14/49,704.20 = 9,448.16/x
  3. Step 3: Cross multiply
    33,141.14x = 49,704.20 × 9,448.16
  4. Step 4: Simplify right side
    33,141.14x = 469,613,253.53
  5. Step 5: Solve for x
    x = 469,613,253.53/33,141.14
  6. Step 6: Final answer
    x = 14,170.10

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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.