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Finding the Fourth Proportional to 32,291.27, 48,410.76 and 10,093.22

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Solution

The fourth proportional to 32,291.27, 48,410.76 and 10,093.22 is: 15,131.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,291.27 : 48,410.76 = 10,093.22 : x
  2. Step 2: Convert to fraction form
    32,291.27/48,410.76 = 10,093.22/x
  3. Step 3: Cross multiply
    32,291.27x = 48,410.76 × 10,093.22
  4. Step 4: Simplify right side
    32,291.27x = 488,620,451.05
  5. Step 5: Solve for x
    x = 488,620,451.05/32,291.27
  6. Step 6: Final answer
    x = 15,131.66

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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.