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Finding the Fourth Proportional to 31,658.94, 43,691.58 and 17,511.48

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Solution

The fourth proportional to 31,658.94, 43,691.58 and 17,511.48 is: 24,167.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,658.94 : 43,691.58 = 17,511.48 : x
  2. Step 2: Convert to fraction form
    31,658.94/43,691.58 = 17,511.48/x
  3. Step 3: Cross multiply
    31,658.94x = 43,691.58 × 17,511.48
  4. Step 4: Simplify right side
    31,658.94x = 765,104,229.34
  5. Step 5: Solve for x
    x = 765,104,229.34/31,658.94
  6. Step 6: Final answer
    x = 24,167.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.