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Finding the Fourth Proportional to 35,766.35, 49,357.70 and 19,850.96

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Solution

The fourth proportional to 35,766.35, 49,357.70 and 19,850.96 is: 27,394.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,766.35 : 49,357.70 = 19,850.96 : x
  2. Step 2: Convert to fraction form
    35,766.35/49,357.70 = 19,850.96/x
  3. Step 3: Cross multiply
    35,766.35x = 49,357.70 × 19,850.96
  4. Step 4: Simplify right side
    35,766.35x = 979,797,382.35
  5. Step 5: Solve for x
    x = 979,797,382.35/35,766.35
  6. Step 6: Final answer
    x = 27,394.39

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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.