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Finding the Fourth Proportional to 31,805.39, 47,678.90 and 11,014.31

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Solution

The fourth proportional to 31,805.39, 47,678.90 and 11,014.31 is: 16,511.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,805.39 : 47,678.90 = 11,014.31 : x
  2. Step 2: Convert to fraction form
    31,805.39/47,678.90 = 11,014.31/x
  3. Step 3: Cross multiply
    31,805.39x = 47,678.90 × 11,014.31
  4. Step 4: Simplify right side
    31,805.39x = 525,150,249.18
  5. Step 5: Solve for x
    x = 525,150,249.18/31,805.39
  6. Step 6: Final answer
    x = 16,511.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.