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Finding the Fourth Proportional to 30,057.89, 45,086.22 and 7,872.59

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Solution

The fourth proportional to 30,057.89, 45,086.22 and 7,872.59 is: 11,808.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,057.89 : 45,086.22 = 7,872.59 : x
  2. Step 2: Convert to fraction form
    30,057.89/45,086.22 = 7,872.59/x
  3. Step 3: Cross multiply
    30,057.89x = 45,086.22 × 7,872.59
  4. Step 4: Simplify right side
    30,057.89x = 354,945,437.43
  5. Step 5: Solve for x
    x = 354,945,437.43/30,057.89
  6. Step 6: Final answer
    x = 11,808.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.