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Finding the Fourth Proportional to 37,998, 52,437.24 and 21,231

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Solution

The fourth proportional to 37,998, 52,437.24 and 21,231 is: 29,298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,998 : 52,437.24 = 21,231 : x
  2. Step 2: Convert to fraction form
    37,998/52,437.24 = 21,231/x
  3. Step 3: Cross multiply
    37,998x = 52,437.24 × 21,231
  4. Step 4: Simplify right side
    37,998x = 1,113,295,042.44
  5. Step 5: Solve for x
    x = 1,113,295,042.44/37,998
  6. Step 6: Final answer
    x = 29,298.78

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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.