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Finding the Fourth Proportional to 35,780.20, 49,377.78 and 19,865.80

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Solution

The fourth proportional to 35,780.20, 49,377.78 and 19,865.80 is: 27,415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,780.20 : 49,377.78 = 19,865.80 : x
  2. Step 2: Convert to fraction form
    35,780.20/49,377.78 = 19,865.80/x
  3. Step 3: Cross multiply
    35,780.20x = 49,377.78 × 19,865.80
  4. Step 4: Simplify right side
    35,780.20x = 980,929,101.92
  5. Step 5: Solve for x
    x = 980,929,101.92/35,780.20
  6. Step 6: Final answer
    x = 27,415.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.