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Finding the Fourth Proportional to 32,082.38, 44,227.37 and 21,994.84

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Solution

The fourth proportional to 32,082.38, 44,227.37 and 21,994.84 is: 30,321.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,082.38 : 44,227.37 = 21,994.84 : x
  2. Step 2: Convert to fraction form
    32,082.38/44,227.37 = 21,994.84/x
  3. Step 3: Cross multiply
    32,082.38x = 44,227.37 × 21,994.84
  4. Step 4: Simplify right side
    32,082.38x = 972,773,913.32
  5. Step 5: Solve for x
    x = 972,773,913.32/32,082.38
  6. Step 6: Final answer
    x = 30,321.13

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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.