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Finding the Fourth Proportional to 104,832.34, 157,103.03 and 47,766.79

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Solution

The fourth proportional to 104,832.34, 157,103.03 and 47,766.79 is: 71,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,832.34 : 157,103.03 = 47,766.79 : x
  2. Step 2: Convert to fraction form
    104,832.34/157,103.03 = 47,766.79/x
  3. Step 3: Cross multiply
    104,832.34x = 157,103.03 × 47,766.79
  4. Step 4: Simplify right side
    104,832.34x = 7,504,306,656.86
  5. Step 5: Solve for x
    x = 7,504,306,656.86/104,832.34
  6. Step 6: Final answer
    x = 71,583.89

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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.