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Finding the Fourth Proportional to 36,792, 50,773.14 and 20,025

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Solution

The fourth proportional to 36,792, 50,773.14 and 20,025 is: 27,634.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,792 : 50,773.14 = 20,025 : x
  2. Step 2: Convert to fraction form
    36,792/50,773.14 = 20,025/x
  3. Step 3: Cross multiply
    36,792x = 50,773.14 × 20,025
  4. Step 4: Simplify right side
    36,792x = 1,016,732,128.50
  5. Step 5: Solve for x
    x = 1,016,732,128.50/36,792
  6. Step 6: Final answer
    x = 27,634.60

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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.