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Finding the Fourth Proportional to 51,005.18, 76,517.50 and 19,838

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Solution

The fourth proportional to 51,005.18, 76,517.50 and 19,838 is: 29,760.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,005.18 : 76,517.50 = 19,838 : x
  2. Step 2: Convert to fraction form
    51,005.18/76,517.50 = 19,838/x
  3. Step 3: Cross multiply
    51,005.18x = 76,517.50 × 19,838
  4. Step 4: Simplify right side
    51,005.18x = 1,517,954,165
  5. Step 5: Solve for x
    x = 1,517,954,165/51,005.18
  6. Step 6: Final answer
    x = 29,760.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.