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Finding the Fourth Proportional to 126,464.94, 189,693.90 and 51,584.76

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Solution

The fourth proportional to 126,464.94, 189,693.90 and 51,584.76 is: 77,375.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,464.94 : 189,693.90 = 51,584.76 : x
  2. Step 2: Convert to fraction form
    126,464.94/189,693.90 = 51,584.76/x
  3. Step 3: Cross multiply
    126,464.94x = 189,693.90 × 51,584.76
  4. Step 4: Simplify right side
    126,464.94x = 9,785,314,304.96
  5. Step 5: Solve for x
    x = 9,785,314,304.96/126,464.94
  6. Step 6: Final answer
    x = 77,375.71

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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.