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Finding the Fourth Proportional to 31,805.29, 47,713.43 and 10,745.48

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Solution

The fourth proportional to 31,805.29, 47,713.43 and 10,745.48 is: 16,120.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,805.29 : 47,713.43 = 10,745.48 : x
  2. Step 2: Convert to fraction form
    31,805.29/47,713.43 = 10,745.48/x
  3. Step 3: Cross multiply
    31,805.29x = 47,713.43 × 10,745.48
  4. Step 4: Simplify right side
    31,805.29x = 512,703,707.80
  5. Step 5: Solve for x
    x = 512,703,707.80/31,805.29
  6. Step 6: Final answer
    x = 16,120.08

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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.