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Finding the Fourth Proportional to 34,145.76, 50,991 and 32,396.16

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Solution

The fourth proportional to 34,145.76, 50,991 and 32,396.16 is: 48,378.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,145.76 : 50,991 = 32,396.16 : x
  2. Step 2: Convert to fraction form
    34,145.76/50,991 = 32,396.16/x
  3. Step 3: Cross multiply
    34,145.76x = 50,991 × 32,396.16
  4. Step 4: Simplify right side
    34,145.76x = 1,651,912,594.56
  5. Step 5: Solve for x
    x = 1,651,912,594.56/34,145.76
  6. Step 6: Final answer
    x = 48,378.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.