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Finding the Fourth Proportional to 60,589, 83,612.82 and 34,093

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Solution

The fourth proportional to 60,589, 83,612.82 and 34,093 is: 47,048.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,589 : 83,612.82 = 34,093 : x
  2. Step 2: Convert to fraction form
    60,589/83,612.82 = 34,093/x
  3. Step 3: Cross multiply
    60,589x = 83,612.82 × 34,093
  4. Step 4: Simplify right side
    60,589x = 2,850,611,872.26
  5. Step 5: Solve for x
    x = 2,850,611,872.26/60,589
  6. Step 6: Final answer
    x = 47,048.34

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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.