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Finding the Fourth Proportional to 69,834, 96,370.92 and 40,026

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Solution

The fourth proportional to 69,834, 96,370.92 and 40,026 is: 55,235.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,834 : 96,370.92 = 40,026 : x
  2. Step 2: Convert to fraction form
    69,834/96,370.92 = 40,026/x
  3. Step 3: Cross multiply
    69,834x = 96,370.92 × 40,026
  4. Step 4: Simplify right side
    69,834x = 3,857,342,443.92
  5. Step 5: Solve for x
    x = 3,857,342,443.92/69,834
  6. Step 6: Final answer
    x = 55,235.88

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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.