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Finding the Fourth Proportional to 32,450.86, 48,679.02 and 10,263.75

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Solution

The fourth proportional to 32,450.86, 48,679.02 and 10,263.75 is: 15,396.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,450.86 : 48,679.02 = 10,263.75 : x
  2. Step 2: Convert to fraction form
    32,450.86/48,679.02 = 10,263.75/x
  3. Step 3: Cross multiply
    32,450.86x = 48,679.02 × 10,263.75
  4. Step 4: Simplify right side
    32,450.86x = 499,629,291.53
  5. Step 5: Solve for x
    x = 499,629,291.53/32,450.86
  6. Step 6: Final answer
    x = 15,396.49

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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.