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Finding the Fourth Proportional to 36,302.54, 50,095.74 and 20,170.86

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Solution

The fourth proportional to 36,302.54, 50,095.74 and 20,170.86 is: 27,834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,302.54 : 50,095.74 = 20,170.86 : x
  2. Step 2: Convert to fraction form
    36,302.54/50,095.74 = 20,170.86/x
  3. Step 3: Cross multiply
    36,302.54x = 50,095.74 × 20,170.86
  4. Step 4: Simplify right side
    36,302.54x = 1,010,474,158.14
  5. Step 5: Solve for x
    x = 1,010,474,158.14/36,302.54
  6. Step 6: Final answer
    x = 27,834.81

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