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Finding the Fourth Proportional to 30,850.02, 42,571.31 and 17,424

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Solution

The fourth proportional to 30,850.02, 42,571.31 and 17,424 is: 24,044.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,850.02 : 42,571.31 = 17,424 : x
  2. Step 2: Convert to fraction form
    30,850.02/42,571.31 = 17,424/x
  3. Step 3: Cross multiply
    30,850.02x = 42,571.31 × 17,424
  4. Step 4: Simplify right side
    30,850.02x = 741,762,418.32
  5. Step 5: Solve for x
    x = 741,762,418.32/30,850.02
  6. Step 6: Final answer
    x = 24,044.15

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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.