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Finding the Fourth Proportional to 31,903.95, 47,852.28 and 8,532.21

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Solution

The fourth proportional to 31,903.95, 47,852.28 and 8,532.21 is: 12,797.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,903.95 : 47,852.28 = 8,532.21 : x
  2. Step 2: Convert to fraction form
    31,903.95/47,852.28 = 8,532.21/x
  3. Step 3: Cross multiply
    31,903.95x = 47,852.28 × 8,532.21
  4. Step 4: Simplify right side
    31,903.95x = 408,285,659.28
  5. Step 5: Solve for x
    x = 408,285,659.28/31,903.95
  6. Step 6: Final answer
    x = 12,797.34

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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.