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Finding the Fourth Proportional to 35,682.38, 49,241.76 and 19,766.54

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Solution

The fourth proportional to 35,682.38, 49,241.76 and 19,766.54 is: 27,277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,682.38 : 49,241.76 = 19,766.54 : x
  2. Step 2: Convert to fraction form
    35,682.38/49,241.76 = 19,766.54/x
  3. Step 3: Cross multiply
    35,682.38x = 49,241.76 × 19,766.54
  4. Step 4: Simplify right side
    35,682.38x = 973,339,218.71
  5. Step 5: Solve for x
    x = 973,339,218.71/35,682.38
  6. Step 6: Final answer
    x = 27,277.87

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Why These Related Problems?

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