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Finding the Fourth Proportional to 36,651.45, 54,976.16 and 11,693.00

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Solution

The fourth proportional to 36,651.45, 54,976.16 and 11,693.00 is: 17,539.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,651.45 : 54,976.16 = 11,693.00 : x
  2. Step 2: Convert to fraction form
    36,651.45/54,976.16 = 11,693.00/x
  3. Step 3: Cross multiply
    36,651.45x = 54,976.16 × 11,693.00
  4. Step 4: Simplify right side
    36,651.45x = 642,835,905.53
  5. Step 5: Solve for x
    x = 642,835,905.53/36,651.45
  6. Step 6: Final answer
    x = 17,539.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.