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Finding the Fourth Proportional to 34,949.97, 48,226.05 and 19,837.80

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Solution

The fourth proportional to 34,949.97, 48,226.05 and 19,837.80 is: 27,373.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,949.97 : 48,226.05 = 19,837.80 : x
  2. Step 2: Convert to fraction form
    34,949.97/48,226.05 = 19,837.80/x
  3. Step 3: Cross multiply
    34,949.97x = 48,226.05 × 19,837.80
  4. Step 4: Simplify right side
    34,949.97x = 956,698,734.69
  5. Step 5: Solve for x
    x = 956,698,734.69/34,949.97
  6. Step 6: Final answer
    x = 27,373.38

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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.