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Finding the Fourth Proportional to 31,816.94, 47,725.37 and 8,124.49

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Solution

The fourth proportional to 31,816.94, 47,725.37 and 8,124.49 is: 12,186.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,816.94 : 47,725.37 = 8,124.49 : x
  2. Step 2: Convert to fraction form
    31,816.94/47,725.37 = 8,124.49/x
  3. Step 3: Cross multiply
    31,816.94x = 47,725.37 × 8,124.49
  4. Step 4: Simplify right side
    31,816.94x = 387,744,340.81
  5. Step 5: Solve for x
    x = 387,744,340.81/31,816.94
  6. Step 6: Final answer
    x = 12,186.73

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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.