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Finding the Fourth Proportional to 29,857.10, 41,208.69 and 17,118.84

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Solution

The fourth proportional to 29,857.10, 41,208.69 and 17,118.84 is: 23,627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,857.10 : 41,208.69 = 17,118.84 : x
  2. Step 2: Convert to fraction form
    29,857.10/41,208.69 = 17,118.84/x
  3. Step 3: Cross multiply
    29,857.10x = 41,208.69 × 17,118.84
  4. Step 4: Simplify right side
    29,857.10x = 705,444,970.72
  5. Step 5: Solve for x
    x = 705,444,970.72/29,857.10
  6. Step 6: Final answer
    x = 23,627.38

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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.