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Finding the Fourth Proportional to 36,003, 49,684.14 and 21,099

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Solution

The fourth proportional to 36,003, 49,684.14 and 21,099 is: 29,116.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,003 : 49,684.14 = 21,099 : x
  2. Step 2: Convert to fraction form
    36,003/49,684.14 = 21,099/x
  3. Step 3: Cross multiply
    36,003x = 49,684.14 × 21,099
  4. Step 4: Simplify right side
    36,003x = 1,048,285,669.86
  5. Step 5: Solve for x
    x = 1,048,285,669.86/36,003
  6. Step 6: Final answer
    x = 29,116.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.