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Finding the Fourth Proportional to 36,018.12, 49,700 and 20,099.48

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Solution

The fourth proportional to 36,018.12, 49,700 and 20,099.48 is: 27,734.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,018.12 : 49,700 = 20,099.48 : x
  2. Step 2: Convert to fraction form
    36,018.12/49,700 = 20,099.48/x
  3. Step 3: Cross multiply
    36,018.12x = 49,700 × 20,099.48
  4. Step 4: Simplify right side
    36,018.12x = 998,944,156
  5. Step 5: Solve for x
    x = 998,944,156/36,018.12
  6. Step 6: Final answer
    x = 27,734.49

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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.