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Finding the Fourth Proportional to 30,524.82, 45,779.84 and 8,338.31

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Solution

The fourth proportional to 30,524.82, 45,779.84 and 8,338.31 is: 12,505.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,524.82 : 45,779.84 = 8,338.31 : x
  2. Step 2: Convert to fraction form
    30,524.82/45,779.84 = 8,338.31/x
  3. Step 3: Cross multiply
    30,524.82x = 45,779.84 × 8,338.31
  4. Step 4: Simplify right side
    30,524.82x = 381,726,497.67
  5. Step 5: Solve for x
    x = 381,726,497.67/30,524.82
  6. Step 6: Final answer
    x = 12,505.45

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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.