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Finding the Fourth Proportional to 67,820.51, 101,743.52 and 27,297.12

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Solution

The fourth proportional to 67,820.51, 101,743.52 and 27,297.12 is: 40,950.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,820.51 : 101,743.52 = 27,297.12 : x
  2. Step 2: Convert to fraction form
    67,820.51/101,743.52 = 27,297.12/x
  3. Step 3: Cross multiply
    67,820.51x = 101,743.52 × 27,297.12
  4. Step 4: Simplify right side
    67,820.51x = 2,777,305,074.66
  5. Step 5: Solve for x
    x = 2,777,305,074.66/67,820.51
  6. Step 6: Final answer
    x = 40,950.81

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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.