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Finding the Fourth Proportional to 31,884.52, 47,832.59 and 10,538.46

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Solution

The fourth proportional to 31,884.52, 47,832.59 and 10,538.46 is: 15,809.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,884.52 : 47,832.59 = 10,538.46 : x
  2. Step 2: Convert to fraction form
    31,884.52/47,832.59 = 10,538.46/x
  3. Step 3: Cross multiply
    31,884.52x = 47,832.59 × 10,538.46
  4. Step 4: Simplify right side
    31,884.52x = 504,081,836.41
  5. Step 5: Solve for x
    x = 504,081,836.41/31,884.52
  6. Step 6: Final answer
    x = 15,809.61

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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.