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Finding the Fourth Proportional to 65,826.14, 98,794.50 and 28,414.48

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Solution

The fourth proportional to 65,826.14, 98,794.50 and 28,414.48 is: 42,645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,826.14 : 98,794.50 = 28,414.48 : x
  2. Step 2: Convert to fraction form
    65,826.14/98,794.50 = 28,414.48/x
  3. Step 3: Cross multiply
    65,826.14x = 98,794.50 × 28,414.48
  4. Step 4: Simplify right side
    65,826.14x = 2,807,194,344.36
  5. Step 5: Solve for x
    x = 2,807,194,344.36/65,826.14
  6. Step 6: Final answer
    x = 42,645.59

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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.