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Finding the Fourth Proportional to 36,431.32, 54,647 and 10,136.28

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Solution

The fourth proportional to 36,431.32, 54,647 and 10,136.28 is: 15,204.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,431.32 : 54,647 = 10,136.28 : x
  2. Step 2: Convert to fraction form
    36,431.32/54,647 = 10,136.28/x
  3. Step 3: Cross multiply
    36,431.32x = 54,647 × 10,136.28
  4. Step 4: Simplify right side
    36,431.32x = 553,917,293.16
  5. Step 5: Solve for x
    x = 553,917,293.16/36,431.32
  6. Step 6: Final answer
    x = 15,204.43

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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.