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Finding the Fourth Proportional to 29,608.06, 40,859.58 and 17,678.38

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Solution

The fourth proportional to 29,608.06, 40,859.58 and 17,678.38 is: 24,396.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,608.06 : 40,859.58 = 17,678.38 : x
  2. Step 2: Convert to fraction form
    29,608.06/40,859.58 = 17,678.38/x
  3. Step 3: Cross multiply
    29,608.06x = 40,859.58 × 17,678.38
  4. Step 4: Simplify right side
    29,608.06x = 722,331,181.88
  5. Step 5: Solve for x
    x = 722,331,181.88/29,608.06
  6. Step 6: Final answer
    x = 24,396.44

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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.