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Finding the Fourth Proportional to 31,878.96, 47,818.44 and 15,188.37

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Solution

The fourth proportional to 31,878.96, 47,818.44 and 15,188.37 is: 22,782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,878.96 : 47,818.44 = 15,188.37 : x
  2. Step 2: Convert to fraction form
    31,878.96/47,818.44 = 15,188.37/x
  3. Step 3: Cross multiply
    31,878.96x = 47,818.44 × 15,188.37
  4. Step 4: Simplify right side
    31,878.96x = 726,284,159.54
  5. Step 5: Solve for x
    x = 726,284,159.54/31,878.96
  6. Step 6: Final answer
    x = 22,782.56

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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.