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Finding the Fourth Proportional to 31,778.46, 47,649.01 and 12,058.41

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Solution

The fourth proportional to 31,778.46, 47,649.01 and 12,058.41 is: 18,080.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,778.46 : 47,649.01 = 12,058.41 : x
  2. Step 2: Convert to fraction form
    31,778.46/47,649.01 = 12,058.41/x
  3. Step 3: Cross multiply
    31,778.46x = 47,649.01 × 12,058.41
  4. Step 4: Simplify right side
    31,778.46x = 574,571,067.23
  5. Step 5: Solve for x
    x = 574,571,067.23/31,778.46
  6. Step 6: Final answer
    x = 18,080.52

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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.