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Finding the Fourth Proportional to 30,884.40, 46,229.40 and 22,136.40

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Solution

The fourth proportional to 30,884.40, 46,229.40 and 22,136.40 is: 33,134.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,884.40 : 46,229.40 = 22,136.40 : x
  2. Step 2: Convert to fraction form
    30,884.40/46,229.40 = 22,136.40/x
  3. Step 3: Cross multiply
    30,884.40x = 46,229.40 × 22,136.40
  4. Step 4: Simplify right side
    30,884.40x = 1,023,352,490.16
  5. Step 5: Solve for x
    x = 1,023,352,490.16/30,884.40
  6. Step 6: Final answer
    x = 33,134.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.