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Finding the Fourth Proportional to 30,057.56, 45,083.70 and 9,279

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Solution

The fourth proportional to 30,057.56, 45,083.70 and 9,279 is: 13,917.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,057.56 : 45,083.70 = 9,279 : x
  2. Step 2: Convert to fraction form
    30,057.56/45,083.70 = 9,279/x
  3. Step 3: Cross multiply
    30,057.56x = 45,083.70 × 9,279
  4. Step 4: Simplify right side
    30,057.56x = 418,331,652.30
  5. Step 5: Solve for x
    x = 418,331,652.30/30,057.56
  6. Step 6: Final answer
    x = 13,917.69

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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.