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Finding the Fourth Proportional to 31,778.35, 47,648.83 and 12,058.29

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Solution

The fourth proportional to 31,778.35, 47,648.83 and 12,058.29 is: 18,080.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,778.35 : 47,648.83 = 12,058.29 : x
  2. Step 2: Convert to fraction form
    31,778.35/47,648.83 = 12,058.29/x
  3. Step 3: Cross multiply
    31,778.35x = 47,648.83 × 12,058.29
  4. Step 4: Simplify right side
    31,778.35x = 574,563,380.15
  5. Step 5: Solve for x
    x = 574,563,380.15/31,778.35
  6. Step 6: Final answer
    x = 18,080.34

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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.