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Finding the Fourth Proportional to 30,261.25, 41,702.90 and 22,197.14

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Solution

The fourth proportional to 30,261.25, 41,702.90 and 22,197.14 is: 30,589.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,261.25 : 41,702.90 = 22,197.14 : x
  2. Step 2: Convert to fraction form
    30,261.25/41,702.90 = 22,197.14/x
  3. Step 3: Cross multiply
    30,261.25x = 41,702.90 × 22,197.14
  4. Step 4: Simplify right side
    30,261.25x = 925,685,071.45
  5. Step 5: Solve for x
    x = 925,685,071.45/30,261.25
  6. Step 6: Final answer
    x = 30,589.79

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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.