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Finding the Fourth Proportional to 36,583.89, 54,876.03 and 10,288.86

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Solution

The fourth proportional to 36,583.89, 54,876.03 and 10,288.86 is: 15,433.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,583.89 : 54,876.03 = 10,288.86 : x
  2. Step 2: Convert to fraction form
    36,583.89/54,876.03 = 10,288.86/x
  3. Step 3: Cross multiply
    36,583.89x = 54,876.03 × 10,288.86
  4. Step 4: Simplify right side
    36,583.89x = 564,611,790.03
  5. Step 5: Solve for x
    x = 564,611,790.03/36,583.89
  6. Step 6: Final answer
    x = 15,433.34

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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.