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Finding the Fourth Proportional to 67,854.22, 93,634.17 and 37,638.34

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Solution

The fourth proportional to 67,854.22, 93,634.17 and 37,638.34 is: 51,938.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,854.22 : 93,634.17 = 37,638.34 : x
  2. Step 2: Convert to fraction form
    67,854.22/93,634.17 = 37,638.34/x
  3. Step 3: Cross multiply
    67,854.22x = 93,634.17 × 37,638.34
  4. Step 4: Simplify right side
    67,854.22x = 3,524,234,726.08
  5. Step 5: Solve for x
    x = 3,524,234,726.08/67,854.22
  6. Step 6: Final answer
    x = 51,938.33

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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.