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Finding the Fourth Proportional to 31,103.36, 46,644.24 and 10,322

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Solution

The fourth proportional to 31,103.36, 46,644.24 and 10,322 is: 15,479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,103.36 : 46,644.24 = 10,322 : x
  2. Step 2: Convert to fraction form
    31,103.36/46,644.24 = 10,322/x
  3. Step 3: Cross multiply
    31,103.36x = 46,644.24 × 10,322
  4. Step 4: Simplify right side
    31,103.36x = 481,461,845.28
  5. Step 5: Solve for x
    x = 481,461,845.28/31,103.36
  6. Step 6: Final answer
    x = 15,479.42

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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.