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Finding the Fourth Proportional to 31,659.35, 47,478.08 and 9,472.23

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Solution

The fourth proportional to 31,659.35, 47,478.08 and 9,472.23 is: 14,205.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,659.35 : 47,478.08 = 9,472.23 : x
  2. Step 2: Convert to fraction form
    31,659.35/47,478.08 = 9,472.23/x
  3. Step 3: Cross multiply
    31,659.35x = 47,478.08 × 9,472.23
  4. Step 4: Simplify right side
    31,659.35x = 449,723,246.36
  5. Step 5: Solve for x
    x = 449,723,246.36/31,659.35
  6. Step 6: Final answer
    x = 14,205.07

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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.