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Finding the Fourth Proportional to 29,954, 44,929.10 and 11,698.22

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Solution

The fourth proportional to 29,954, 44,929.10 and 11,698.22 is: 17,546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,954 : 44,929.10 = 11,698.22 : x
  2. Step 2: Convert to fraction form
    29,954/44,929.10 = 11,698.22/x
  3. Step 3: Cross multiply
    29,954x = 44,929.10 × 11,698.22
  4. Step 4: Simplify right side
    29,954x = 525,590,496.20
  5. Step 5: Solve for x
    x = 525,590,496.20/29,954
  6. Step 6: Final answer
    x = 17,546.59

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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.