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Finding the Fourth Proportional to 31,399.84, 47,107.05 and 9,212.32

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Solution

The fourth proportional to 31,399.84, 47,107.05 and 9,212.32 is: 13,820.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,399.84 : 47,107.05 = 9,212.32 : x
  2. Step 2: Convert to fraction form
    31,399.84/47,107.05 = 9,212.32/x
  3. Step 3: Cross multiply
    31,399.84x = 47,107.05 × 9,212.32
  4. Step 4: Simplify right side
    31,399.84x = 433,965,218.86
  5. Step 5: Solve for x
    x = 433,965,218.86/31,399.84
  6. Step 6: Final answer
    x = 13,820.62

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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.