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Finding the Fourth Proportional to 37,820.54, 52,191.91 and 20,824.43

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Solution

The fourth proportional to 37,820.54, 52,191.91 and 20,824.43 is: 28,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,820.54 : 52,191.91 = 20,824.43 : x
  2. Step 2: Convert to fraction form
    37,820.54/52,191.91 = 20,824.43/x
  3. Step 3: Cross multiply
    37,820.54x = 52,191.91 × 20,824.43
  4. Step 4: Simplify right side
    37,820.54x = 1,086,866,515.40
  5. Step 5: Solve for x
    x = 1,086,866,515.40/37,820.54
  6. Step 6: Final answer
    x = 28,737.47

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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.