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Finding the Fourth Proportional to 31,794.15, 47,689.82 and 9,606.86

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Solution

The fourth proportional to 31,794.15, 47,689.82 and 9,606.86 is: 14,409.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,794.15 : 47,689.82 = 9,606.86 : x
  2. Step 2: Convert to fraction form
    31,794.15/47,689.82 = 9,606.86/x
  3. Step 3: Cross multiply
    31,794.15x = 47,689.82 × 9,606.86
  4. Step 4: Simplify right side
    31,794.15x = 458,149,424.17
  5. Step 5: Solve for x
    x = 458,149,424.17/31,794.15
  6. Step 6: Final answer
    x = 14,409.87

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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.