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Finding the Fourth Proportional to 30,509.58, 45,759.67 and 8,324.76

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Solution

The fourth proportional to 30,509.58, 45,759.67 and 8,324.76 is: 12,485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,509.58 : 45,759.67 = 8,324.76 : x
  2. Step 2: Convert to fraction form
    30,509.58/45,759.67 = 8,324.76/x
  3. Step 3: Cross multiply
    30,509.58x = 45,759.67 × 8,324.76
  4. Step 4: Simplify right side
    30,509.58x = 380,938,270.43
  5. Step 5: Solve for x
    x = 380,938,270.43/30,509.58
  6. Step 6: Final answer
    x = 12,485.86

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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.