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Finding the Fourth Proportional to 37,415.43, 51,634.20 and 22,311

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Solution

The fourth proportional to 37,415.43, 51,634.20 and 22,311 is: 30,789.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,415.43 : 51,634.20 = 22,311 : x
  2. Step 2: Convert to fraction form
    37,415.43/51,634.20 = 22,311/x
  3. Step 3: Cross multiply
    37,415.43x = 51,634.20 × 22,311
  4. Step 4: Simplify right side
    37,415.43x = 1,152,010,636.20
  5. Step 5: Solve for x
    x = 1,152,010,636.20/37,415.43
  6. Step 6: Final answer
    x = 30,789.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.