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Finding the Fourth Proportional to 129,797.94, 194,707.85 and 41,049.48

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Solution

The fourth proportional to 129,797.94, 194,707.85 and 41,049.48 is: 61,577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,797.94 : 194,707.85 = 41,049.48 : x
  2. Step 2: Convert to fraction form
    129,797.94/194,707.85 = 41,049.48/x
  3. Step 3: Cross multiply
    129,797.94x = 194,707.85 × 41,049.48
  4. Step 4: Simplify right side
    129,797.94x = 7,992,655,789.17
  5. Step 5: Solve for x
    x = 7,992,655,789.17/129,797.94
  6. Step 6: Final answer
    x = 61,577.68

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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.