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Finding the Fourth Proportional to 71,266.40, 106,930.68 and 33,852.90

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Solution

The fourth proportional to 71,266.40, 106,930.68 and 33,852.90 is: 50,794.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,266.40 : 106,930.68 = 33,852.90 : x
  2. Step 2: Convert to fraction form
    71,266.40/106,930.68 = 33,852.90/x
  3. Step 3: Cross multiply
    71,266.40x = 106,930.68 × 33,852.90
  4. Step 4: Simplify right side
    71,266.40x = 3,619,913,616.97
  5. Step 5: Solve for x
    x = 3,619,913,616.97/71,266.40
  6. Step 6: Final answer
    x = 50,794.11

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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.