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Finding the Fourth Proportional to 46,950.52, 64,770.06 and 27,067

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Solution

The fourth proportional to 46,950.52, 64,770.06 and 27,067 is: 37,339.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,950.52 : 64,770.06 = 27,067 : x
  2. Step 2: Convert to fraction form
    46,950.52/64,770.06 = 27,067/x
  3. Step 3: Cross multiply
    46,950.52x = 64,770.06 × 27,067
  4. Step 4: Simplify right side
    46,950.52x = 1,753,131,214.02
  5. Step 5: Solve for x
    x = 1,753,131,214.02/46,950.52
  6. Step 6: Final answer
    x = 37,339.97

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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.