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Finding the Fourth Proportional to 37,820.80, 52,194.12 and 20,825.78

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Solution

The fourth proportional to 37,820.80, 52,194.12 and 20,825.78 is: 28,740.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,820.80 : 52,194.12 = 20,825.78 : x
  2. Step 2: Convert to fraction form
    37,820.80/52,194.12 = 20,825.78/x
  3. Step 3: Cross multiply
    37,820.80x = 52,194.12 × 20,825.78
  4. Step 4: Simplify right side
    37,820.80x = 1,086,983,260.41
  5. Step 5: Solve for x
    x = 1,086,983,260.41/37,820.80
  6. Step 6: Final answer
    x = 28,740.36

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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.