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Finding the Fourth Proportional to 126,408.90, 189,640.70 and 37,669.56

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Solution

The fourth proportional to 126,408.90, 189,640.70 and 37,669.56 is: 56,512.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,408.90 : 189,640.70 = 37,669.56 : x
  2. Step 2: Convert to fraction form
    126,408.90/189,640.70 = 37,669.56/x
  3. Step 3: Cross multiply
    126,408.90x = 189,640.70 × 37,669.56
  4. Step 4: Simplify right side
    126,408.90x = 7,143,681,727.09
  5. Step 5: Solve for x
    x = 7,143,681,727.09/126,408.90
  6. Step 6: Final answer
    x = 56,512.49

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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.