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Finding the Fourth Proportional to 37,767, 56,651.70 and 11,471.97

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Solution

The fourth proportional to 37,767, 56,651.70 and 11,471.97 is: 17,208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,767 : 56,651.70 = 11,471.97 : x
  2. Step 2: Convert to fraction form
    37,767/56,651.70 = 11,471.97/x
  3. Step 3: Cross multiply
    37,767x = 56,651.70 × 11,471.97
  4. Step 4: Simplify right side
    37,767x = 649,906,602.85
  5. Step 5: Solve for x
    x = 649,906,602.85/37,767
  6. Step 6: Final answer
    x = 17,208.32

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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.