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Finding the Fourth Proportional to 129,007.50, 193,523.48 and 50,127.82

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Solution

The fourth proportional to 129,007.50, 193,523.48 and 50,127.82 is: 75,196.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,007.50 : 193,523.48 = 50,127.82 : x
  2. Step 2: Convert to fraction form
    129,007.50/193,523.48 = 50,127.82/x
  3. Step 3: Cross multiply
    129,007.50x = 193,523.48 × 50,127.82
  4. Step 4: Simplify right side
    129,007.50x = 9,700,910,171.21
  5. Step 5: Solve for x
    x = 9,700,910,171.21/129,007.50
  6. Step 6: Final answer
    x = 75,196.48

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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.