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Finding the Fourth Proportional to 36,362.76, 54,549.90 and 11,733

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Solution

The fourth proportional to 36,362.76, 54,549.90 and 11,733 is: 17,601.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,362.76 : 54,549.90 = 11,733 : x
  2. Step 2: Convert to fraction form
    36,362.76/54,549.90 = 11,733/x
  3. Step 3: Cross multiply
    36,362.76x = 54,549.90 × 11,733
  4. Step 4: Simplify right side
    36,362.76x = 640,033,976.70
  5. Step 5: Solve for x
    x = 640,033,976.70/36,362.76
  6. Step 6: Final answer
    x = 17,601.36

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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.