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Finding the Fourth Proportional to 29,934, 44,907.48 and 11,466

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Solution

The fourth proportional to 29,934, 44,907.48 and 11,466 is: 17,201.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,934 : 44,907.48 = 11,466 : x
  2. Step 2: Convert to fraction form
    29,934/44,907.48 = 11,466/x
  3. Step 3: Cross multiply
    29,934x = 44,907.48 × 11,466
  4. Step 4: Simplify right side
    29,934x = 514,909,165.68
  5. Step 5: Solve for x
    x = 514,909,165.68/29,934
  6. Step 6: Final answer
    x = 17,201.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.