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Finding the Fourth Proportional to 31,872.96, 47,809.44 and 15,182.37

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Solution

The fourth proportional to 31,872.96, 47,809.44 and 15,182.37 is: 22,773.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,872.96 : 47,809.44 = 15,182.37 : x
  2. Step 2: Convert to fraction form
    31,872.96/47,809.44 = 15,182.37/x
  3. Step 3: Cross multiply
    31,872.96x = 47,809.44 × 15,182.37
  4. Step 4: Simplify right side
    31,872.96x = 725,860,607.57
  5. Step 5: Solve for x
    x = 725,860,607.57/31,872.96
  6. Step 6: Final answer
    x = 22,773.56

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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.