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Finding the Fourth Proportional to 31,793.76, 47,676.18 and 12,058.32

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Solution

The fourth proportional to 31,793.76, 47,676.18 and 12,058.32 is: 18,082.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,793.76 : 47,676.18 = 12,058.32 : x
  2. Step 2: Convert to fraction form
    31,793.76/47,676.18 = 12,058.32/x
  3. Step 3: Cross multiply
    31,793.76x = 47,676.18 × 12,058.32
  4. Step 4: Simplify right side
    31,793.76x = 574,894,634.82
  5. Step 5: Solve for x
    x = 574,894,634.82/31,793.76
  6. Step 6: Final answer
    x = 18,082.00

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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.