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Finding the Fourth Proportional to 30,506.58, 45,755.17 and 8,321.76

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Solution

The fourth proportional to 30,506.58, 45,755.17 and 8,321.76 is: 12,481.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,506.58 : 45,755.17 = 8,321.76 : x
  2. Step 2: Convert to fraction form
    30,506.58/45,755.17 = 8,321.76/x
  3. Step 3: Cross multiply
    30,506.58x = 45,755.17 × 8,321.76
  4. Step 4: Simplify right side
    30,506.58x = 380,763,522.69
  5. Step 5: Solve for x
    x = 380,763,522.69/30,506.58
  6. Step 6: Final answer
    x = 12,481.36

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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.