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Finding the Fourth Proportional to 37,814.50, 52,185.12 and 20,820.52

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Solution

The fourth proportional to 37,814.50, 52,185.12 and 20,820.52 is: 28,732.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,814.50 : 52,185.12 = 20,820.52 : x
  2. Step 2: Convert to fraction form
    37,814.50/52,185.12 = 20,820.52/x
  3. Step 3: Cross multiply
    37,814.50x = 52,185.12 × 20,820.52
  4. Step 4: Simplify right side
    37,814.50x = 1,086,521,334.66
  5. Step 5: Solve for x
    x = 1,086,521,334.66/37,814.50
  6. Step 6: Final answer
    x = 28,732.93

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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.