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Finding the Fourth Proportional to 29,892.25, 41,268.47 and 19,834.33

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Solution

The fourth proportional to 29,892.25, 41,268.47 and 19,834.33 is: 27,382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,892.25 : 41,268.47 = 19,834.33 : x
  2. Step 2: Convert to fraction form
    29,892.25/41,268.47 = 19,834.33/x
  3. Step 3: Cross multiply
    29,892.25x = 41,268.47 × 19,834.33
  4. Step 4: Simplify right side
    29,892.25x = 818,532,471.57
  5. Step 5: Solve for x
    x = 818,532,471.57/29,892.25
  6. Step 6: Final answer
    x = 27,382.76

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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.