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Finding the Fourth Proportional to 126,057.67, 189,126.14 and 37,311.94

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Solution

The fourth proportional to 126,057.67, 189,126.14 and 37,311.94 is: 55,979.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,057.67 : 189,126.14 = 37,311.94 : x
  2. Step 2: Convert to fraction form
    126,057.67/189,126.14 = 37,311.94/x
  3. Step 3: Cross multiply
    126,057.67x = 189,126.14 × 37,311.94
  4. Step 4: Simplify right side
    126,057.67x = 7,056,663,447.84
  5. Step 5: Solve for x
    x = 7,056,663,447.84/126,057.67
  6. Step 6: Final answer
    x = 55,979.64

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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.