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Finding the Fourth Proportional to 35,682.30, 49,241.97 and 19,766.97

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Solution

The fourth proportional to 35,682.30, 49,241.97 and 19,766.97 is: 27,278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,682.30 : 49,241.97 = 19,766.97 : x
  2. Step 2: Convert to fraction form
    35,682.30/49,241.97 = 19,766.97/x
  3. Step 3: Cross multiply
    35,682.30x = 49,241.97 × 19,766.97
  4. Step 4: Simplify right side
    35,682.30x = 973,364,543.73
  5. Step 5: Solve for x
    x = 973,364,543.73/35,682.30
  6. Step 6: Final answer
    x = 27,278.64

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1.5x scale

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.