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Finding the Fourth Proportional to 31,816.80, 47,725.16 and 8,124.35

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Solution

The fourth proportional to 31,816.80, 47,725.16 and 8,124.35 is: 12,186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,816.80 : 47,725.16 = 8,124.35 : x
  2. Step 2: Convert to fraction form
    31,816.80/47,725.16 = 8,124.35/x
  3. Step 3: Cross multiply
    31,816.80x = 47,725.16 × 8,124.35
  4. Step 4: Simplify right side
    31,816.80x = 387,735,624.40
  5. Step 5: Solve for x
    x = 387,735,624.40/31,816.80
  6. Step 6: Final answer
    x = 12,186.51

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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.