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Finding the Fourth Proportional to 30,414.52, 41,982.06 and 19,251.64

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Solution

The fourth proportional to 30,414.52, 41,982.06 and 19,251.64 is: 26,573.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,414.52 : 41,982.06 = 19,251.64 : x
  2. Step 2: Convert to fraction form
    30,414.52/41,982.06 = 19,251.64/x
  3. Step 3: Cross multiply
    30,414.52x = 41,982.06 × 19,251.64
  4. Step 4: Simplify right side
    30,414.52x = 808,223,505.58
  5. Step 5: Solve for x
    x = 808,223,505.58/30,414.52
  6. Step 6: Final answer
    x = 26,573.61

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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.