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Finding the Fourth Proportional to 105,793.38, 158,766.75 and 39,242.97

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Solution

The fourth proportional to 105,793.38, 158,766.75 and 39,242.97 is: 58,892.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,793.38 : 158,766.75 = 39,242.97 : x
  2. Step 2: Convert to fraction form
    105,793.38/158,766.75 = 39,242.97/x
  3. Step 3: Cross multiply
    105,793.38x = 158,766.75 × 39,242.97
  4. Step 4: Simplify right side
    105,793.38x = 6,230,478,807.25
  5. Step 5: Solve for x
    x = 6,230,478,807.25/105,793.38
  6. Step 6: Final answer
    x = 58,892.90

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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.