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Finding the Fourth Proportional to 31,832.96, 47,684.40 and 15,142.48

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Solution

The fourth proportional to 31,832.96, 47,684.40 and 15,142.48 is: 22,682.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,832.96 : 47,684.40 = 15,142.48 : x
  2. Step 2: Convert to fraction form
    31,832.96/47,684.40 = 15,142.48/x
  3. Step 3: Cross multiply
    31,832.96x = 47,684.40 × 15,142.48
  4. Step 4: Simplify right side
    31,832.96x = 722,060,073.31
  5. Step 5: Solve for x
    x = 722,060,073.31/31,832.96
  6. Step 6: Final answer
    x = 22,682.78

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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.