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Finding the Fourth Proportional to 36,143.44, 49,883.18 and 20,827

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Solution

The fourth proportional to 36,143.44, 49,883.18 and 20,827 is: 28,744.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,143.44 : 49,883.18 = 20,827 : x
  2. Step 2: Convert to fraction form
    36,143.44/49,883.18 = 20,827/x
  3. Step 3: Cross multiply
    36,143.44x = 49,883.18 × 20,827
  4. Step 4: Simplify right side
    36,143.44x = 1,038,916,989.86
  5. Step 5: Solve for x
    x = 1,038,916,989.86/36,143.44
  6. Step 6: Final answer
    x = 28,744.28

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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.