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Finding the Fourth Proportional to 36,452.56, 50,312.72 and 23,870

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Solution

The fourth proportional to 36,452.56, 50,312.72 and 23,870 is: 32,945.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,452.56 : 50,312.72 = 23,870 : x
  2. Step 2: Convert to fraction form
    36,452.56/50,312.72 = 23,870/x
  3. Step 3: Cross multiply
    36,452.56x = 50,312.72 × 23,870
  4. Step 4: Simplify right side
    36,452.56x = 1,200,964,626.40
  5. Step 5: Solve for x
    x = 1,200,964,626.40/36,452.56
  6. Step 6: Final answer
    x = 32,945.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.