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Finding the Fourth Proportional to 69,364.14, 103,979.22 and 31,950

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Solution

The fourth proportional to 69,364.14, 103,979.22 and 31,950 is: 47,894.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,364.14 : 103,979.22 = 31,950 : x
  2. Step 2: Convert to fraction form
    69,364.14/103,979.22 = 31,950/x
  3. Step 3: Cross multiply
    69,364.14x = 103,979.22 × 31,950
  4. Step 4: Simplify right side
    69,364.14x = 3,322,136,079
  5. Step 5: Solve for x
    x = 3,322,136,079/69,364.14
  6. Step 6: Final answer
    x = 47,894.14

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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.