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Finding the Fourth Proportional to 30,005.92, 41,394.38 and 17,428.24

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Solution

The fourth proportional to 30,005.92, 41,394.38 and 17,428.24 is: 24,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005.92 : 41,394.38 = 17,428.24 : x
  2. Step 2: Convert to fraction form
    30,005.92/41,394.38 = 17,428.24/x
  3. Step 3: Cross multiply
    30,005.92x = 41,394.38 × 17,428.24
  4. Step 4: Simplify right side
    30,005.92x = 721,431,189.29
  5. Step 5: Solve for x
    x = 721,431,189.29/30,005.92
  6. Step 6: Final answer
    x = 24,042.96

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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.