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Finding the Fourth Proportional to 30,517, 42,109.92 and 17,772.97

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Solution

The fourth proportional to 30,517, 42,109.92 and 17,772.97 is: 24,524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,517 : 42,109.92 = 17,772.97 : x
  2. Step 2: Convert to fraction form
    30,517/42,109.92 = 17,772.97/x
  3. Step 3: Cross multiply
    30,517x = 42,109.92 × 17,772.97
  4. Step 4: Simplify right side
    30,517x = 748,418,150.72
  5. Step 5: Solve for x
    x = 748,418,150.72/30,517
  6. Step 6: Final answer
    x = 24,524.63

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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.