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Finding the Fourth Proportional to 31,903.83, 47,852.09 and 8,532.09

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Solution

The fourth proportional to 31,903.83, 47,852.09 and 8,532.09 is: 12,797.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,903.83 : 47,852.09 = 8,532.09 : x
  2. Step 2: Convert to fraction form
    31,903.83/47,852.09 = 8,532.09/x
  3. Step 3: Cross multiply
    31,903.83x = 47,852.09 × 8,532.09
  4. Step 4: Simplify right side
    31,903.83x = 408,278,338.57
  5. Step 5: Solve for x
    x = 408,278,338.57/31,903.83
  6. Step 6: Final answer
    x = 12,797.16

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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.