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Finding the Fourth Proportional to 30,505.32, 42,099.21 and 17,077.41

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Solution

The fourth proportional to 30,505.32, 42,099.21 and 17,077.41 is: 23,567.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,505.32 : 42,099.21 = 17,077.41 : x
  2. Step 2: Convert to fraction form
    30,505.32/42,099.21 = 17,077.41/x
  3. Step 3: Cross multiply
    30,505.32x = 42,099.21 × 17,077.41
  4. Step 4: Simplify right side
    30,505.32x = 718,945,469.85
  5. Step 5: Solve for x
    x = 718,945,469.85/30,505.32
  6. Step 6: Final answer
    x = 23,567.87

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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.