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Finding the Fourth Proportional to 31,632.80, 47,456.76 and 9,447.98

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Solution

The fourth proportional to 31,632.80, 47,456.76 and 9,447.98 is: 14,174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,632.80 : 47,456.76 = 9,447.98 : x
  2. Step 2: Convert to fraction form
    31,632.80/47,456.76 = 9,447.98/x
  3. Step 3: Cross multiply
    31,632.80x = 47,456.76 × 9,447.98
  4. Step 4: Simplify right side
    31,632.80x = 448,370,519.34
  5. Step 5: Solve for x
    x = 448,370,519.34/31,632.80
  6. Step 6: Final answer
    x = 14,174.23

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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.