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Finding the Fourth Proportional to 33,292.71, 49,938.55 and 9,919.14

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Solution

The fourth proportional to 33,292.71, 49,938.55 and 9,919.14 is: 14,878.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,292.71 : 49,938.55 = 9,919.14 : x
  2. Step 2: Convert to fraction form
    33,292.71/49,938.55 = 9,919.14/x
  3. Step 3: Cross multiply
    33,292.71x = 49,938.55 × 9,919.14
  4. Step 4: Simplify right side
    33,292.71x = 495,347,468.85
  5. Step 5: Solve for x
    x = 495,347,468.85/33,292.71
  6. Step 6: Final answer
    x = 14,878.56

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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.