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Finding the Fourth Proportional to 34,940.30, 48,221.86 and 19,837.66

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Solution

The fourth proportional to 34,940.30, 48,221.86 and 19,837.66 is: 27,378.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,940.30 : 48,221.86 = 19,837.66 : x
  2. Step 2: Convert to fraction form
    34,940.30/48,221.86 = 19,837.66/x
  3. Step 3: Cross multiply
    34,940.30x = 48,221.86 × 19,837.66
  4. Step 4: Simplify right side
    34,940.30x = 956,608,863.25
  5. Step 5: Solve for x
    x = 956,608,863.25/34,940.30
  6. Step 6: Final answer
    x = 27,378.38

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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.