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Finding the Fourth Proportional to 31,532.80, 47,299.20 and 9,347.84

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Solution

The fourth proportional to 31,532.80, 47,299.20 and 9,347.84 is: 14,021.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,532.80 : 47,299.20 = 9,347.84 : x
  2. Step 2: Convert to fraction form
    31,532.80/47,299.20 = 9,347.84/x
  3. Step 3: Cross multiply
    31,532.80x = 47,299.20 × 9,347.84
  4. Step 4: Simplify right side
    31,532.80x = 442,145,353.73
  5. Step 5: Solve for x
    x = 442,145,353.73/31,532.80
  6. Step 6: Final answer
    x = 14,021.76

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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.