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Finding the Fourth Proportional to 35,682.46, 49,243.14 and 19,766.56

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Solution

The fourth proportional to 35,682.46, 49,243.14 and 19,766.56 is: 27,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,682.46 : 49,243.14 = 19,766.56 : x
  2. Step 2: Convert to fraction form
    35,682.46/49,243.14 = 19,766.56/x
  3. Step 3: Cross multiply
    35,682.46x = 49,243.14 × 19,766.56
  4. Step 4: Simplify right side
    35,682.46x = 973,367,481.40
  5. Step 5: Solve for x
    x = 973,367,481.40/35,682.46
  6. Step 6: Final answer
    x = 27,278.60

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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.