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Finding the Fourth Proportional to 37,835.98, 52,213.17 and 20,839.88

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Solution

The fourth proportional to 37,835.98, 52,213.17 and 20,839.88 is: 28,758.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,835.98 : 52,213.17 = 20,839.88 : x
  2. Step 2: Convert to fraction form
    37,835.98/52,213.17 = 20,839.88/x
  3. Step 3: Cross multiply
    37,835.98x = 52,213.17 × 20,839.88
  4. Step 4: Simplify right side
    37,835.98x = 1,088,116,405.90
  5. Step 5: Solve for x
    x = 1,088,116,405.90/37,835.98
  6. Step 6: Final answer
    x = 28,758.78

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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.