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Finding the Fourth Proportional to 50,995.52, 76,382.51 and 24,645

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Solution

The fourth proportional to 50,995.52, 76,382.51 and 24,645 is: 36,913.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,995.52 : 76,382.51 = 24,645 : x
  2. Step 2: Convert to fraction form
    50,995.52/76,382.51 = 24,645/x
  3. Step 3: Cross multiply
    50,995.52x = 76,382.51 × 24,645
  4. Step 4: Simplify right side
    50,995.52x = 1,882,446,835.73
  5. Step 5: Solve for x
    x = 1,882,446,835.73/50,995.52
  6. Step 6: Final answer
    x = 36,913.97

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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.