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Finding the Fourth Proportional to 30,520.96, 45,774.04 and 8,334.44

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Solution

The fourth proportional to 30,520.96, 45,774.04 and 8,334.44 is: 12,499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,520.96 : 45,774.04 = 8,334.44 : x
  2. Step 2: Convert to fraction form
    30,520.96/45,774.04 = 8,334.44/x
  3. Step 3: Cross multiply
    30,520.96x = 45,774.04 × 8,334.44
  4. Step 4: Simplify right side
    30,520.96x = 381,500,989.94
  5. Step 5: Solve for x
    x = 381,500,989.94/30,520.96
  6. Step 6: Final answer
    x = 12,499.64

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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.