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Finding the Fourth Proportional to 31,794.48, 43,876.38 and 17,647.32

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Solution

The fourth proportional to 31,794.48, 43,876.38 and 17,647.32 is: 24,353.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,794.48 : 43,876.38 = 17,647.32 : x
  2. Step 2: Convert to fraction form
    31,794.48/43,876.38 = 17,647.32/x
  3. Step 3: Cross multiply
    31,794.48x = 43,876.38 × 17,647.32
  4. Step 4: Simplify right side
    31,794.48x = 774,300,518.30
  5. Step 5: Solve for x
    x = 774,300,518.30/31,794.48
  6. Step 6: Final answer
    x = 24,353.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.