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Finding the Fourth Proportional to 31,778.37, 47,648.87 and 12,058.31

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Solution

The fourth proportional to 31,778.37, 47,648.87 and 12,058.31 is: 18,080.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,778.37 : 47,648.87 = 12,058.31 : x
  2. Step 2: Convert to fraction form
    31,778.37/47,648.87 = 12,058.31/x
  3. Step 3: Cross multiply
    31,778.37x = 47,648.87 × 12,058.31
  4. Step 4: Simplify right side
    31,778.37x = 574,564,904.44
  5. Step 5: Solve for x
    x = 574,564,904.44/31,778.37
  6. Step 6: Final answer
    x = 18,080.38

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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.