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Finding the Fourth Proportional to 40,682.81, 61,067.34 and 36,033

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Solution

The fourth proportional to 40,682.81, 61,067.34 and 36,033 is: 54,087.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,682.81 : 61,067.34 = 36,033 : x
  2. Step 2: Convert to fraction form
    40,682.81/61,067.34 = 36,033/x
  3. Step 3: Cross multiply
    40,682.81x = 61,067.34 × 36,033
  4. Step 4: Simplify right side
    40,682.81x = 2,200,439,462.22
  5. Step 5: Solve for x
    x = 2,200,439,462.22/40,682.81
  6. Step 6: Final answer
    x = 54,087.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.