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Finding the Fourth Proportional to 30,020.78, 41,434.39 and 19,793.82

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Solution

The fourth proportional to 30,020.78, 41,434.39 and 19,793.82 is: 27,319.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,020.78 : 41,434.39 = 19,793.82 : x
  2. Step 2: Convert to fraction form
    30,020.78/41,434.39 = 19,793.82/x
  3. Step 3: Cross multiply
    30,020.78x = 41,434.39 × 19,793.82
  4. Step 4: Simplify right side
    30,020.78x = 820,144,693.18
  5. Step 5: Solve for x
    x = 820,144,693.18/30,020.78
  6. Step 6: Final answer
    x = 27,319.24

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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.