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Finding the Fourth Proportional to 30,276.25, 41,781.87 and 16,849.90

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Solution

The fourth proportional to 30,276.25, 41,781.87 and 16,849.90 is: 23,253.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,276.25 : 41,781.87 = 16,849.90 : x
  2. Step 2: Convert to fraction form
    30,276.25/41,781.87 = 16,849.90/x
  3. Step 3: Cross multiply
    30,276.25x = 41,781.87 × 16,849.90
  4. Step 4: Simplify right side
    30,276.25x = 704,020,331.31
  5. Step 5: Solve for x
    x = 704,020,331.31/30,276.25
  6. Step 6: Final answer
    x = 23,253.22

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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.