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Finding the Fourth Proportional to 30,538.38, 42,142.23 and 17,110.20

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Solution

The fourth proportional to 30,538.38, 42,142.23 and 17,110.20 is: 23,611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,538.38 : 42,142.23 = 17,110.20 : x
  2. Step 2: Convert to fraction form
    30,538.38/42,142.23 = 17,110.20/x
  3. Step 3: Cross multiply
    30,538.38x = 42,142.23 × 17,110.20
  4. Step 4: Simplify right side
    30,538.38x = 721,061,983.75
  5. Step 5: Solve for x
    x = 721,061,983.75/30,538.38
  6. Step 6: Final answer
    x = 23,611.66

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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.