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Finding the Fourth Proportional to 71,377.20, 106,920.47 and 33,823.44

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Solution

The fourth proportional to 71,377.20, 106,920.47 and 33,823.44 is: 50,666.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,377.20 : 106,920.47 = 33,823.44 : x
  2. Step 2: Convert to fraction form
    71,377.20/106,920.47 = 33,823.44/x
  3. Step 3: Cross multiply
    71,377.20x = 106,920.47 × 33,823.44
  4. Step 4: Simplify right side
    71,377.20x = 3,616,418,186.38
  5. Step 5: Solve for x
    x = 3,616,418,186.38/71,377.20
  6. Step 6: Final answer
    x = 50,666.29

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1.5x scale

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.