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Finding the Fourth Proportional to 84,408.84, 126,627.34 and 37,659.96

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Solution

The fourth proportional to 84,408.84, 126,627.34 and 37,659.96 is: 56,496.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,408.84 : 126,627.34 = 37,659.96 : x
  2. Step 2: Convert to fraction form
    84,408.84/126,627.34 = 37,659.96/x
  3. Step 3: Cross multiply
    84,408.84x = 126,627.34 × 37,659.96
  4. Step 4: Simplify right side
    84,408.84x = 4,768,780,559.31
  5. Step 5: Solve for x
    x = 4,768,780,559.31/84,408.84
  6. Step 6: Final answer
    x = 56,496.22

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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.