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Finding the Fourth Proportional to 30,249.56, 45,376.50 and 8,062.82

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Solution

The fourth proportional to 30,249.56, 45,376.50 and 8,062.82 is: 12,094.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,249.56 : 45,376.50 = 8,062.82 : x
  2. Step 2: Convert to fraction form
    30,249.56/45,376.50 = 8,062.82/x
  3. Step 3: Cross multiply
    30,249.56x = 45,376.50 × 8,062.82
  4. Step 4: Simplify right side
    30,249.56x = 365,862,551.73
  5. Step 5: Solve for x
    x = 365,862,551.73/30,249.56
  6. Step 6: Final answer
    x = 12,094.81

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Why These Related Problems?

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