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Finding the Fourth Proportional to 37,757.30, 52,100.73 and 30,200.90

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Solution

The fourth proportional to 37,757.30, 52,100.73 and 30,200.90 is: 41,673.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,757.30 : 52,100.73 = 30,200.90 : x
  2. Step 2: Convert to fraction form
    37,757.30/52,100.73 = 30,200.90/x
  3. Step 3: Cross multiply
    37,757.30x = 52,100.73 × 30,200.90
  4. Step 4: Simplify right side
    37,757.30x = 1,573,488,676.15
  5. Step 5: Solve for x
    x = 1,573,488,676.15/37,757.30
  6. Step 6: Final answer
    x = 41,673.77

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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.