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Finding the Fourth Proportional to 37,036.50, 51,110.37 and 20,269.50

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Solution

The fourth proportional to 37,036.50, 51,110.37 and 20,269.50 is: 27,971.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,036.50 : 51,110.37 = 20,269.50 : x
  2. Step 2: Convert to fraction form
    37,036.50/51,110.37 = 20,269.50/x
  3. Step 3: Cross multiply
    37,036.50x = 51,110.37 × 20,269.50
  4. Step 4: Simplify right side
    37,036.50x = 1,035,981,644.72
  5. Step 5: Solve for x
    x = 1,035,981,644.72/37,036.50
  6. Step 6: Final answer
    x = 27,971.91

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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.