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Finding the Fourth Proportional to 30,643.95, 45,960.44 and 8,154.75

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Solution

The fourth proportional to 30,643.95, 45,960.44 and 8,154.75 is: 12,230.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,643.95 : 45,960.44 = 8,154.75 : x
  2. Step 2: Convert to fraction form
    30,643.95/45,960.44 = 8,154.75/x
  3. Step 3: Cross multiply
    30,643.95x = 45,960.44 × 8,154.75
  4. Step 4: Simplify right side
    30,643.95x = 374,795,898.09
  5. Step 5: Solve for x
    x = 374,795,898.09/30,643.95
  6. Step 6: Final answer
    x = 12,230.67

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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.