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Finding the Fourth Proportional to 30,578, 42,198.28 and 17,330

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Solution

The fourth proportional to 30,578, 42,198.28 and 17,330 is: 23,915.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,578 : 42,198.28 = 17,330 : x
  2. Step 2: Convert to fraction form
    30,578/42,198.28 = 17,330/x
  3. Step 3: Cross multiply
    30,578x = 42,198.28 × 17,330
  4. Step 4: Simplify right side
    30,578x = 731,296,192.40
  5. Step 5: Solve for x
    x = 731,296,192.40/30,578
  6. Step 6: Final answer
    x = 23,915.76

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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.