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Finding the Fourth Proportional to 37,124.50, 51,231.82 and 20,357.86

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Solution

The fourth proportional to 37,124.50, 51,231.82 and 20,357.86 is: 28,093.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,124.50 : 51,231.82 = 20,357.86 : x
  2. Step 2: Convert to fraction form
    37,124.50/51,231.82 = 20,357.86/x
  3. Step 3: Cross multiply
    37,124.50x = 51,231.82 × 20,357.86
  4. Step 4: Simplify right side
    37,124.50x = 1,042,970,219.11
  5. Step 5: Solve for x
    x = 1,042,970,219.11/37,124.50
  6. Step 6: Final answer
    x = 28,093.85

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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.