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Finding the Fourth Proportional to 30,935.46, 42,688.57 and 18,189.16

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Solution

The fourth proportional to 30,935.46, 42,688.57 and 18,189.16 is: 25,099.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,935.46 : 42,688.57 = 18,189.16 : x
  2. Step 2: Convert to fraction form
    30,935.46/42,688.57 = 18,189.16/x
  3. Step 3: Cross multiply
    30,935.46x = 42,688.57 × 18,189.16
  4. Step 4: Simplify right side
    30,935.46x = 776,469,229.90
  5. Step 5: Solve for x
    x = 776,469,229.90/30,935.46
  6. Step 6: Final answer
    x = 25,099.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.