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Finding the Fourth Proportional to 35,682.19, 49,241.46 and 19,766.31

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Solution

The fourth proportional to 35,682.19, 49,241.46 and 19,766.31 is: 27,277.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,682.19 : 49,241.46 = 19,766.31 : x
  2. Step 2: Convert to fraction form
    35,682.19/49,241.46 = 19,766.31/x
  3. Step 3: Cross multiply
    35,682.19x = 49,241.46 × 19,766.31
  4. Step 4: Simplify right side
    35,682.19x = 973,321,963.21
  5. Step 5: Solve for x
    x = 973,321,963.21/35,682.19
  6. Step 6: Final answer
    x = 27,277.53

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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.