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Finding the Fourth Proportional to 143,018.28, 214,537.68 and 37,836

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Solution

The fourth proportional to 143,018.28, 214,537.68 and 37,836 is: 56,756.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,018.28 : 214,537.68 = 37,836 : x
  2. Step 2: Convert to fraction form
    143,018.28/214,537.68 = 37,836/x
  3. Step 3: Cross multiply
    143,018.28x = 214,537.68 × 37,836
  4. Step 4: Simplify right side
    143,018.28x = 8,117,247,660.48
  5. Step 5: Solve for x
    x = 8,117,247,660.48/143,018.28
  6. Step 6: Final answer
    x = 56,756.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.