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Finding the Fourth Proportional to 116,766.75, 175,174.73 and 37,874.83

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Solution

The fourth proportional to 116,766.75, 175,174.73 and 37,874.83 is: 56,820.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,766.75 : 175,174.73 = 37,874.83 : x
  2. Step 2: Convert to fraction form
    116,766.75/175,174.73 = 37,874.83/x
  3. Step 3: Cross multiply
    116,766.75x = 175,174.73 × 37,874.83
  4. Step 4: Simplify right side
    116,766.75x = 6,634,713,119.05
  5. Step 5: Solve for x
    x = 6,634,713,119.05/116,766.75
  6. Step 6: Final answer
    x = 56,820.23

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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.