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Finding the Fourth Proportional to 37,077.50, 51,168.22 and 20,311.58

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Solution

The fourth proportional to 37,077.50, 51,168.22 and 20,311.58 is: 28,030.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,077.50 : 51,168.22 = 20,311.58 : x
  2. Step 2: Convert to fraction form
    37,077.50/51,168.22 = 20,311.58/x
  3. Step 3: Cross multiply
    37,077.50x = 51,168.22 × 20,311.58
  4. Step 4: Simplify right side
    37,077.50x = 1,039,307,393.99
  5. Step 5: Solve for x
    x = 1,039,307,393.99/37,077.50
  6. Step 6: Final answer
    x = 28,030.68

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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.