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Finding the Fourth Proportional to 33,676.34, 50,607 and 31,482.26

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Solution

The fourth proportional to 33,676.34, 50,607 and 31,482.26 is: 47,309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,676.34 : 50,607 = 31,482.26 : x
  2. Step 2: Convert to fraction form
    33,676.34/50,607 = 31,482.26/x
  3. Step 3: Cross multiply
    33,676.34x = 50,607 × 31,482.26
  4. Step 4: Simplify right side
    33,676.34x = 1,593,222,478.79
  5. Step 5: Solve for x
    x = 1,593,222,478.79/33,676.34
  6. Step 6: Final answer
    x = 47,309.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.