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Finding the Fourth Proportional to 71,266.78, 106,931.25 and 33,853.29

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Solution

The fourth proportional to 71,266.78, 106,931.25 and 33,853.29 is: 50,794.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,266.78 : 106,931.25 = 33,853.29 : x
  2. Step 2: Convert to fraction form
    71,266.78/106,931.25 = 33,853.29/x
  3. Step 3: Cross multiply
    71,266.78x = 106,931.25 × 33,853.29
  4. Step 4: Simplify right side
    71,266.78x = 3,619,974,616.31
  5. Step 5: Solve for x
    x = 3,619,974,616.31/71,266.78
  6. Step 6: Final answer
    x = 50,794.70

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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.