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Finding the Fourth Proportional to 30,191.25, 41,664.65 and 16,943.25

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Solution

The fourth proportional to 30,191.25, 41,664.65 and 16,943.25 is: 23,382.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,191.25 : 41,664.65 = 16,943.25 : x
  2. Step 2: Convert to fraction form
    30,191.25/41,664.65 = 16,943.25/x
  3. Step 3: Cross multiply
    30,191.25x = 41,664.65 × 16,943.25
  4. Step 4: Simplify right side
    30,191.25x = 705,934,496.40
  5. Step 5: Solve for x
    x = 705,934,496.40/30,191.25
  6. Step 6: Final answer
    x = 23,382.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.