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Finding the Fourth Proportional to 37,500.50, 51,751.77 and 20,734.58

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Solution

The fourth proportional to 37,500.50, 51,751.77 and 20,734.58 is: 28,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,500.50 : 51,751.77 = 20,734.58 : x
  2. Step 2: Convert to fraction form
    37,500.50/51,751.77 = 20,734.58/x
  3. Step 3: Cross multiply
    37,500.50x = 51,751.77 × 20,734.58
  4. Step 4: Simplify right side
    37,500.50x = 1,073,051,215.21
  5. Step 5: Solve for x
    x = 1,073,051,215.21/37,500.50
  6. Step 6: Final answer
    x = 28,614.32

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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.