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Finding the Fourth Proportional to 32,473.36, 48,709.68 and 10,286.72

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Solution

The fourth proportional to 32,473.36, 48,709.68 and 10,286.72 is: 15,429.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,473.36 : 48,709.68 = 10,286.72 : x
  2. Step 2: Convert to fraction form
    32,473.36/48,709.68 = 10,286.72/x
  3. Step 3: Cross multiply
    32,473.36x = 48,709.68 × 10,286.72
  4. Step 4: Simplify right side
    32,473.36x = 501,062,839.45
  5. Step 5: Solve for x
    x = 501,062,839.45/32,473.36
  6. Step 6: Final answer
    x = 15,429.97

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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.