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Finding the Fourth Proportional to 30,223.96, 41,695.62 and 20,142.56

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Solution

The fourth proportional to 30,223.96, 41,695.62 and 20,142.56 is: 27,787.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,223.96 : 41,695.62 = 20,142.56 : x
  2. Step 2: Convert to fraction form
    30,223.96/41,695.62 = 20,142.56/x
  3. Step 3: Cross multiply
    30,223.96x = 41,695.62 × 20,142.56
  4. Step 4: Simplify right side
    30,223.96x = 839,856,527.59
  5. Step 5: Solve for x
    x = 839,856,527.59/30,223.96
  6. Step 6: Final answer
    x = 27,787.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.