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Finding the Fourth Proportional to 129,765.15, 194,657.91 and 34,993.91

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Solution

The fourth proportional to 129,765.15, 194,657.91 and 34,993.91 is: 52,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,765.15 : 194,657.91 = 34,993.91 : x
  2. Step 2: Convert to fraction form
    129,765.15/194,657.91 = 34,993.91/x
  3. Step 3: Cross multiply
    129,765.15x = 194,657.91 × 34,993.91
  4. Step 4: Simplify right side
    129,765.15x = 6,811,840,410.04
  5. Step 5: Solve for x
    x = 6,811,840,410.04/129,765.15
  6. Step 6: Final answer
    x = 52,493.60

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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.