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Finding the Fourth Proportional to 97,680.71, 146,524.05 and 33,638.16

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Solution

The fourth proportional to 97,680.71, 146,524.05 and 33,638.16 is: 50,458.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,680.71 : 146,524.05 = 33,638.16 : x
  2. Step 2: Convert to fraction form
    97,680.71/146,524.05 = 33,638.16/x
  3. Step 3: Cross multiply
    97,680.71x = 146,524.05 × 33,638.16
  4. Step 4: Simplify right side
    97,680.71x = 4,928,799,269.56
  5. Step 5: Solve for x
    x = 4,928,799,269.56/97,680.71
  6. Step 6: Final answer
    x = 50,458.27

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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.