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Finding the Fourth Proportional to 31,638.94, 47,532.20 and 18,500.54

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Solution

The fourth proportional to 31,638.94, 47,532.20 and 18,500.54 is: 27,793.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,638.94 : 47,532.20 = 18,500.54 : x
  2. Step 2: Convert to fraction form
    31,638.94/47,532.20 = 18,500.54/x
  3. Step 3: Cross multiply
    31,638.94x = 47,532.20 × 18,500.54
  4. Step 4: Simplify right side
    31,638.94x = 879,371,037.22
  5. Step 5: Solve for x
    x = 879,371,037.22/31,638.94
  6. Step 6: Final answer
    x = 27,793.95

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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.