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Finding the Fourth Proportional to 52,106.92, 71,832.90 and 37,177

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Solution

The fourth proportional to 52,106.92, 71,832.90 and 37,177 is: 51,251.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,106.92 : 71,832.90 = 37,177 : x
  2. Step 2: Convert to fraction form
    52,106.92/71,832.90 = 37,177/x
  3. Step 3: Cross multiply
    52,106.92x = 71,832.90 × 37,177
  4. Step 4: Simplify right side
    52,106.92x = 2,670,531,723.30
  5. Step 5: Solve for x
    x = 2,670,531,723.30/52,106.92
  6. Step 6: Final answer
    x = 51,251.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.