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Finding the Fourth Proportional to 31,606.86, 47,394.42 and 10,539.44

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Solution

The fourth proportional to 31,606.86, 47,394.42 and 10,539.44 is: 15,803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,606.86 : 47,394.42 = 10,539.44 : x
  2. Step 2: Convert to fraction form
    31,606.86/47,394.42 = 10,539.44/x
  3. Step 3: Cross multiply
    31,606.86x = 47,394.42 × 10,539.44
  4. Step 4: Simplify right side
    31,606.86x = 499,510,645.92
  5. Step 5: Solve for x
    x = 499,510,645.92/31,606.86
  6. Step 6: Final answer
    x = 15,803.87

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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.