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Finding the Fourth Proportional to 44,863.14, 67,295.24 and 19,214

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Solution

The fourth proportional to 44,863.14, 67,295.24 and 19,214 is: 28,821.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,863.14 : 67,295.24 = 19,214 : x
  2. Step 2: Convert to fraction form
    44,863.14/67,295.24 = 19,214/x
  3. Step 3: Cross multiply
    44,863.14x = 67,295.24 × 19,214
  4. Step 4: Simplify right side
    44,863.14x = 1,293,010,741.36
  5. Step 5: Solve for x
    x = 1,293,010,741.36/44,863.14
  6. Step 6: Final answer
    x = 28,821.23

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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.