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Finding the Fourth Proportional to 37,018.50, 51,085.34 and 20,022.62

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Solution

The fourth proportional to 37,018.50, 51,085.34 and 20,022.62 is: 27,631.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,018.50 : 51,085.34 = 20,022.62 : x
  2. Step 2: Convert to fraction form
    37,018.50/51,085.34 = 20,022.62/x
  3. Step 3: Cross multiply
    37,018.50x = 51,085.34 × 20,022.62
  4. Step 4: Simplify right side
    37,018.50x = 1,022,861,994.85
  5. Step 5: Solve for x
    x = 1,022,861,994.85/37,018.50
  6. Step 6: Final answer
    x = 27,631.10

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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.