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Finding the Fourth Proportional to 62,213.76, 85,853.44 and 33,920

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Solution

The fourth proportional to 62,213.76, 85,853.44 and 33,920 is: 46,808.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,213.76 : 85,853.44 = 33,920 : x
  2. Step 2: Convert to fraction form
    62,213.76/85,853.44 = 33,920/x
  3. Step 3: Cross multiply
    62,213.76x = 85,853.44 × 33,920
  4. Step 4: Simplify right side
    62,213.76x = 2,912,148,684.80
  5. Step 5: Solve for x
    x = 2,912,148,684.80/62,213.76
  6. Step 6: Final answer
    x = 46,808.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.