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Finding the Fourth Proportional to 31,794.24, 43,878.04 and 17,647.32

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Solution

The fourth proportional to 31,794.24, 43,878.04 and 17,647.32 is: 24,354.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,794.24 : 43,878.04 = 17,647.32 : x
  2. Step 2: Convert to fraction form
    31,794.24/43,878.04 = 17,647.32/x
  3. Step 3: Cross multiply
    31,794.24x = 43,878.04 × 17,647.32
  4. Step 4: Simplify right side
    31,794.24x = 774,329,812.85
  5. Step 5: Solve for x
    x = 774,329,812.85/31,794.24
  6. Step 6: Final answer
    x = 24,354.41

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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.