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Finding the Fourth Proportional to 30,202.31, 41,718.41 and 22,988.40

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Solution

The fourth proportional to 30,202.31, 41,718.41 and 22,988.40 is: 31,753.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,202.31 : 41,718.41 = 22,988.40 : x
  2. Step 2: Convert to fraction form
    30,202.31/41,718.41 = 22,988.40/x
  3. Step 3: Cross multiply
    30,202.31x = 41,718.41 × 22,988.40
  4. Step 4: Simplify right side
    30,202.31x = 959,039,553.92
  5. Step 5: Solve for x
    x = 959,039,553.92/30,202.31
  6. Step 6: Final answer
    x = 31,753.85

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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.