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Finding the Fourth Proportional to 29,549.64, 44,324.46 and 17,229

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Solution

The fourth proportional to 29,549.64, 44,324.46 and 17,229 is: 25,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,549.64 : 44,324.46 = 17,229 : x
  2. Step 2: Convert to fraction form
    29,549.64/44,324.46 = 17,229/x
  3. Step 3: Cross multiply
    29,549.64x = 44,324.46 × 17,229
  4. Step 4: Simplify right side
    29,549.64x = 763,666,121.34
  5. Step 5: Solve for x
    x = 763,666,121.34/29,549.64
  6. Step 6: Final answer
    x = 25,843.50

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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.