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Finding the Fourth Proportional to 71,630.39, 107,408.49 and 32,153.51

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Solution

The fourth proportional to 71,630.39, 107,408.49 and 32,153.51 is: 48,213.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,630.39 : 107,408.49 = 32,153.51 : x
  2. Step 2: Convert to fraction form
    71,630.39/107,408.49 = 32,153.51/x
  3. Step 3: Cross multiply
    71,630.39x = 107,408.49 × 32,153.51
  4. Step 4: Simplify right side
    71,630.39x = 3,453,559,420.26
  5. Step 5: Solve for x
    x = 3,453,559,420.26/71,630.39
  6. Step 6: Final answer
    x = 48,213.61

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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.