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Finding the Fourth Proportional to 31,881.91, 43,998.09 and 17,543.38

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Solution

The fourth proportional to 31,881.91, 43,998.09 and 17,543.38 is: 24,210.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,881.91 : 43,998.09 = 17,543.38 : x
  2. Step 2: Convert to fraction form
    31,881.91/43,998.09 = 17,543.38/x
  3. Step 3: Cross multiply
    31,881.91x = 43,998.09 × 17,543.38
  4. Step 4: Simplify right side
    31,881.91x = 771,875,212.14
  5. Step 5: Solve for x
    x = 771,875,212.14/31,881.91
  6. Step 6: Final answer
    x = 24,210.44

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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.