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Finding the Fourth Proportional to 37,675.38, 51,996.20 and 24,076

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Solution

The fourth proportional to 37,675.38, 51,996.20 and 24,076 is: 33,227.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,675.38 : 51,996.20 = 24,076 : x
  2. Step 2: Convert to fraction form
    37,675.38/51,996.20 = 24,076/x
  3. Step 3: Cross multiply
    37,675.38x = 51,996.20 × 24,076
  4. Step 4: Simplify right side
    37,675.38x = 1,251,860,511.20
  5. Step 5: Solve for x
    x = 1,251,860,511.20/37,675.38
  6. Step 6: Final answer
    x = 33,227.55

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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.