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Finding the Fourth Proportional to 61,194.72, 84,450 and 34,339.17

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Solution

The fourth proportional to 61,194.72, 84,450 and 34,339.17 is: 47,388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,194.72 : 84,450 = 34,339.17 : x
  2. Step 2: Convert to fraction form
    61,194.72/84,450 = 34,339.17/x
  3. Step 3: Cross multiply
    61,194.72x = 84,450 × 34,339.17
  4. Step 4: Simplify right side
    61,194.72x = 2,899,942,906.50
  5. Step 5: Solve for x
    x = 2,899,942,906.50/61,194.72
  6. Step 6: Final answer
    x = 47,388.78

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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.