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Finding the Fourth Proportional to 32,028.96, 44,175.64 and 27,560.20

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Solution

The fourth proportional to 32,028.96, 44,175.64 and 27,560.20 is: 38,012.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,028.96 : 44,175.64 = 27,560.20 : x
  2. Step 2: Convert to fraction form
    32,028.96/44,175.64 = 27,560.20/x
  3. Step 3: Cross multiply
    32,028.96x = 44,175.64 × 27,560.20
  4. Step 4: Simplify right side
    32,028.96x = 1,217,489,473.53
  5. Step 5: Solve for x
    x = 1,217,489,473.53/32,028.96
  6. Step 6: Final answer
    x = 38,012.15

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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.