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Finding the Fourth Proportional to 31,842.02, 43,939.05 and 17,694.02

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Solution

The fourth proportional to 31,842.02, 43,939.05 and 17,694.02 is: 24,416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,842.02 : 43,939.05 = 17,694.02 : x
  2. Step 2: Convert to fraction form
    31,842.02/43,939.05 = 17,694.02/x
  3. Step 3: Cross multiply
    31,842.02x = 43,939.05 × 17,694.02
  4. Step 4: Simplify right side
    31,842.02x = 777,458,429.48
  5. Step 5: Solve for x
    x = 777,458,429.48/31,842.02
  6. Step 6: Final answer
    x = 24,416.12

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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.