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Finding the Fourth Proportional to 37,084.50, 51,177.42 and 20,317.50

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Solution

The fourth proportional to 37,084.50, 51,177.42 and 20,317.50 is: 28,038.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,084.50 : 51,177.42 = 20,317.50 : x
  2. Step 2: Convert to fraction form
    37,084.50/51,177.42 = 20,317.50/x
  3. Step 3: Cross multiply
    37,084.50x = 51,177.42 × 20,317.50
  4. Step 4: Simplify right side
    37,084.50x = 1,039,797,230.85
  5. Step 5: Solve for x
    x = 1,039,797,230.85/37,084.50
  6. Step 6: Final answer
    x = 28,038.59

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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.