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Finding the Fourth Proportional to 31,903.82, 47,852.07 and 8,532.08

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Solution

The fourth proportional to 31,903.82, 47,852.07 and 8,532.08 is: 12,797.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,903.82 : 47,852.07 = 8,532.08 : x
  2. Step 2: Convert to fraction form
    31,903.82/47,852.07 = 8,532.08/x
  3. Step 3: Cross multiply
    31,903.82x = 47,852.07 × 8,532.08
  4. Step 4: Simplify right side
    31,903.82x = 408,277,450.15
  5. Step 5: Solve for x
    x = 408,277,450.15/31,903.82
  6. Step 6: Final answer
    x = 12,797.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.