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Finding the Fourth Proportional to 31,379.68, 47,076.52 and 10,602.64

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Solution

The fourth proportional to 31,379.68, 47,076.52 and 10,602.64 is: 15,906.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,379.68 : 47,076.52 = 10,602.64 : x
  2. Step 2: Convert to fraction form
    31,379.68/47,076.52 = 10,602.64/x
  3. Step 3: Cross multiply
    31,379.68x = 47,076.52 × 10,602.64
  4. Step 4: Simplify right side
    31,379.68x = 499,135,394.01
  5. Step 5: Solve for x
    x = 499,135,394.01/31,379.68
  6. Step 6: Final answer
    x = 15,906.33

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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.