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Finding the Fourth Proportional to 33,095.27, 49,667.52 and 13,374

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Solution

The fourth proportional to 33,095.27, 49,667.52 and 13,374 is: 20,070.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,095.27 : 49,667.52 = 13,374 : x
  2. Step 2: Convert to fraction form
    33,095.27/49,667.52 = 13,374/x
  3. Step 3: Cross multiply
    33,095.27x = 49,667.52 × 13,374
  4. Step 4: Simplify right side
    33,095.27x = 664,253,412.48
  5. Step 5: Solve for x
    x = 664,253,412.48/33,095.27
  6. Step 6: Final answer
    x = 20,070.95

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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.