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Finding the Fourth Proportional to 30,493.78, 42,084.55 and 19,171.96

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Solution

The fourth proportional to 30,493.78, 42,084.55 and 19,171.96 is: 26,459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,493.78 : 42,084.55 = 19,171.96 : x
  2. Step 2: Convert to fraction form
    30,493.78/42,084.55 = 19,171.96/x
  3. Step 3: Cross multiply
    30,493.78x = 42,084.55 × 19,171.96
  4. Step 4: Simplify right side
    30,493.78x = 806,843,120.13
  5. Step 5: Solve for x
    x = 806,843,120.13/30,493.78
  6. Step 6: Final answer
    x = 26,459.27

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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.