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Finding the Fourth Proportional to 31,855.84, 43,959.99 and 17,708.38

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Solution

The fourth proportional to 31,855.84, 43,959.99 and 17,708.38 is: 24,436.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,855.84 : 43,959.99 = 17,708.38 : x
  2. Step 2: Convert to fraction form
    31,855.84/43,959.99 = 17,708.38/x
  3. Step 3: Cross multiply
    31,855.84x = 43,959.99 × 17,708.38
  4. Step 4: Simplify right side
    31,855.84x = 778,460,207.72
  5. Step 5: Solve for x
    x = 778,460,207.72/31,855.84
  6. Step 6: Final answer
    x = 24,436.97

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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.