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Finding the Fourth Proportional to 35,770.14, 49,365.03 and 19,854.85

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Solution

The fourth proportional to 35,770.14, 49,365.03 and 19,854.85 is: 27,400.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,770.14 : 49,365.03 = 19,854.85 : x
  2. Step 2: Convert to fraction form
    35,770.14/49,365.03 = 19,854.85/x
  3. Step 3: Cross multiply
    35,770.14x = 49,365.03 × 19,854.85
  4. Step 4: Simplify right side
    35,770.14x = 980,135,166.62
  5. Step 5: Solve for x
    x = 980,135,166.62/35,770.14
  6. Step 6: Final answer
    x = 27,400.94

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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.