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Finding the Fourth Proportional to 60,731.75, 83,809.97 and 33,876

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Solution

The fourth proportional to 60,731.75, 83,809.97 and 33,876 is: 46,748.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,731.75 : 83,809.97 = 33,876 : x
  2. Step 2: Convert to fraction form
    60,731.75/83,809.97 = 33,876/x
  3. Step 3: Cross multiply
    60,731.75x = 83,809.97 × 33,876
  4. Step 4: Simplify right side
    60,731.75x = 2,839,146,543.72
  5. Step 5: Solve for x
    x = 2,839,146,543.72/60,731.75
  6. Step 6: Final answer
    x = 46,748.97

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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.