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Finding the Fourth Proportional to 116,766.88, 175,174.92 and 37,874.95

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Solution

The fourth proportional to 116,766.88, 175,174.92 and 37,874.95 is: 56,820.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,766.88 : 175,174.92 = 37,874.95 : x
  2. Step 2: Convert to fraction form
    116,766.88/175,174.92 = 37,874.95/x
  3. Step 3: Cross multiply
    116,766.88x = 175,174.92 × 37,874.95
  4. Step 4: Simplify right side
    116,766.88x = 6,634,741,883.68
  5. Step 5: Solve for x
    x = 6,634,741,883.68/116,766.88
  6. Step 6: Final answer
    x = 56,820.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.