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Finding the Fourth Proportional to 31,853.84, 43,957.23 and 17,706.38

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Solution

The fourth proportional to 31,853.84, 43,957.23 and 17,706.38 is: 24,434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,853.84 : 43,957.23 = 17,706.38 : x
  2. Step 2: Convert to fraction form
    31,853.84/43,957.23 = 17,706.38/x
  3. Step 3: Cross multiply
    31,853.84x = 43,957.23 × 17,706.38
  4. Step 4: Simplify right side
    31,853.84x = 778,323,418.13
  5. Step 5: Solve for x
    x = 778,323,418.13/31,853.84
  6. Step 6: Final answer
    x = 24,434.21

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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.