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Finding the Fourth Proportional to 35,770.36, 49,360.78 and 19,854.80

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Solution

The fourth proportional to 35,770.36, 49,360.78 and 19,854.80 is: 27,398.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,770.36 : 49,360.78 = 19,854.80 : x
  2. Step 2: Convert to fraction form
    35,770.36/49,360.78 = 19,854.80/x
  3. Step 3: Cross multiply
    35,770.36x = 49,360.78 × 19,854.80
  4. Step 4: Simplify right side
    35,770.36x = 980,048,414.74
  5. Step 5: Solve for x
    x = 980,048,414.74/35,770.36
  6. Step 6: Final answer
    x = 27,398.34

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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.