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Finding the Fourth Proportional to 30,202.61, 41,684.94 and 22,584.11

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Solution

The fourth proportional to 30,202.61, 41,684.94 and 22,584.11 is: 31,170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,202.61 : 41,684.94 = 22,584.11 : x
  2. Step 2: Convert to fraction form
    30,202.61/41,684.94 = 22,584.11/x
  3. Step 3: Cross multiply
    30,202.61x = 41,684.94 × 22,584.11
  4. Step 4: Simplify right side
    30,202.61x = 941,417,270.30
  5. Step 5: Solve for x
    x = 941,417,270.30/30,202.61
  6. Step 6: Final answer
    x = 31,170.06

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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.