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Finding the Fourth Proportional to 30,863.20, 42,591.24 and 17,434.48

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Solution

The fourth proportional to 30,863.20, 42,591.24 and 17,434.48 is: 24,059.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,863.20 : 42,591.24 = 17,434.48 : x
  2. Step 2: Convert to fraction form
    30,863.20/42,591.24 = 17,434.48/x
  3. Step 3: Cross multiply
    30,863.20x = 42,591.24 × 17,434.48
  4. Step 4: Simplify right side
    30,863.20x = 742,556,121.96
  5. Step 5: Solve for x
    x = 742,556,121.96/30,863.20
  6. Step 6: Final answer
    x = 24,059.60

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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.