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Finding the Fourth Proportional to 129,793.48, 194,688.92 and 41,047

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Solution

The fourth proportional to 129,793.48, 194,688.92 and 41,047 is: 61,570.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,793.48 : 194,688.92 = 41,047 : x
  2. Step 2: Convert to fraction form
    129,793.48/194,688.92 = 41,047/x
  3. Step 3: Cross multiply
    129,793.48x = 194,688.92 × 41,047
  4. Step 4: Simplify right side
    129,793.48x = 7,991,396,099.24
  5. Step 5: Solve for x
    x = 7,991,396,099.24/129,793.48
  6. Step 6: Final answer
    x = 61,570.09

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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.