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Finding the Fourth Proportional to 31,151.25, 43,008.17 and 19,992.69

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Solution

The fourth proportional to 31,151.25, 43,008.17 and 19,992.69 is: 27,602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,151.25 : 43,008.17 = 19,992.69 : x
  2. Step 2: Convert to fraction form
    31,151.25/43,008.17 = 19,992.69/x
  3. Step 3: Cross multiply
    31,151.25x = 43,008.17 × 19,992.69
  4. Step 4: Simplify right side
    31,151.25x = 859,848,910.31
  5. Step 5: Solve for x
    x = 859,848,910.31/31,151.25
  6. Step 6: Final answer
    x = 27,602.39

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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.