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Finding the Fourth Proportional to 32,820.72, 49,274.84 and 27,921.84

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Solution

The fourth proportional to 32,820.72, 49,274.84 and 27,921.84 is: 41,919.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,820.72 : 49,274.84 = 27,921.84 : x
  2. Step 2: Convert to fraction form
    32,820.72/49,274.84 = 27,921.84/x
  3. Step 3: Cross multiply
    32,820.72x = 49,274.84 × 27,921.84
  4. Step 4: Simplify right side
    32,820.72x = 1,375,844,198.51
  5. Step 5: Solve for x
    x = 1,375,844,198.51/32,820.72
  6. Step 6: Final answer
    x = 41,919.99

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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.