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Finding the Fourth Proportional to 30,045.72, 41,466.17 and 17,299.38

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Solution

The fourth proportional to 30,045.72, 41,466.17 and 17,299.38 is: 23,874.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,045.72 : 41,466.17 = 17,299.38 : x
  2. Step 2: Convert to fraction form
    30,045.72/41,466.17 = 17,299.38/x
  3. Step 3: Cross multiply
    30,045.72x = 41,466.17 × 17,299.38
  4. Step 4: Simplify right side
    30,045.72x = 717,339,031.97
  5. Step 5: Solve for x
    x = 717,339,031.97/30,045.72
  6. Step 6: Final answer
    x = 23,874.92

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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.