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Finding the Fourth Proportional to 36,802.86, 55,216.89 and 15,734.22

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Solution

The fourth proportional to 36,802.86, 55,216.89 and 15,734.22 is: 23,606.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,802.86 : 55,216.89 = 15,734.22 : x
  2. Step 2: Convert to fraction form
    36,802.86/55,216.89 = 15,734.22/x
  3. Step 3: Cross multiply
    36,802.86x = 55,216.89 × 15,734.22
  4. Step 4: Simplify right side
    36,802.86x = 868,794,694.98
  5. Step 5: Solve for x
    x = 868,794,694.98/36,802.86
  6. Step 6: Final answer
    x = 23,606.72

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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.