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Finding the Fourth Proportional to 32,504.76, 48,757.32 and 9,131.40

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Solution

The fourth proportional to 32,504.76, 48,757.32 and 9,131.40 is: 13,697.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,504.76 : 48,757.32 = 9,131.40 : x
  2. Step 2: Convert to fraction form
    32,504.76/48,757.32 = 9,131.40/x
  3. Step 3: Cross multiply
    32,504.76x = 48,757.32 × 9,131.40
  4. Step 4: Simplify right side
    32,504.76x = 445,222,591.85
  5. Step 5: Solve for x
    x = 445,222,591.85/32,504.76
  6. Step 6: Final answer
    x = 13,697.15

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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.