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Finding the Fourth Proportional to 32,530.74, 48,796.10 and 10,344.12

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Solution

The fourth proportional to 32,530.74, 48,796.10 and 10,344.12 is: 15,516.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,530.74 : 48,796.10 = 10,344.12 : x
  2. Step 2: Convert to fraction form
    32,530.74/48,796.10 = 10,344.12/x
  3. Step 3: Cross multiply
    32,530.74x = 48,796.10 × 10,344.12
  4. Step 4: Simplify right side
    32,530.74x = 504,752,662.21
  5. Step 5: Solve for x
    x = 504,752,662.21/32,530.74
  6. Step 6: Final answer
    x = 15,516.18

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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.