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Finding the Fourth Proportional to 30,673.91, 42,327.60 and 17,242.56

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Solution

The fourth proportional to 30,673.91, 42,327.60 and 17,242.56 is: 23,793.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,673.91 : 42,327.60 = 17,242.56 : x
  2. Step 2: Convert to fraction form
    30,673.91/42,327.60 = 17,242.56/x
  3. Step 3: Cross multiply
    30,673.91x = 42,327.60 × 17,242.56
  4. Step 4: Simplify right side
    30,673.91x = 729,836,182.66
  5. Step 5: Solve for x
    x = 729,836,182.66/30,673.91
  6. Step 6: Final answer
    x = 23,793.39

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Why These Related Problems?

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