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Finding the Fourth Proportional to 37,723.50, 52,063.02 and 21,808.08

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Solution

The fourth proportional to 37,723.50, 52,063.02 and 21,808.08 is: 30,097.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,723.50 : 52,063.02 = 21,808.08 : x
  2. Step 2: Convert to fraction form
    37,723.50/52,063.02 = 21,808.08/x
  3. Step 3: Cross multiply
    37,723.50x = 52,063.02 × 21,808.08
  4. Step 4: Simplify right side
    37,723.50x = 1,135,394,505.20
  5. Step 5: Solve for x
    x = 1,135,394,505.20/37,723.50
  6. Step 6: Final answer
    x = 30,097.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.