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Finding the Fourth Proportional to 37,612.76, 51,906.62 and 27,022.21

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Solution

The fourth proportional to 37,612.76, 51,906.62 and 27,022.21 is: 37,291.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,612.76 : 51,906.62 = 27,022.21 : x
  2. Step 2: Convert to fraction form
    37,612.76/51,906.62 = 27,022.21/x
  3. Step 3: Cross multiply
    37,612.76x = 51,906.62 × 27,022.21
  4. Step 4: Simplify right side
    37,612.76x = 1,402,631,523.82
  5. Step 5: Solve for x
    x = 1,402,631,523.82/37,612.76
  6. Step 6: Final answer
    x = 37,291.38

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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.