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Finding the Fourth Proportional to 29,837.69, 41,176.12 and 16,409.78

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Solution

The fourth proportional to 29,837.69, 41,176.12 and 16,409.78 is: 22,645.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,837.69 : 41,176.12 = 16,409.78 : x
  2. Step 2: Convert to fraction form
    29,837.69/41,176.12 = 16,409.78/x
  3. Step 3: Cross multiply
    29,837.69x = 41,176.12 × 16,409.78
  4. Step 4: Simplify right side
    29,837.69x = 675,691,070.45
  5. Step 5: Solve for x
    x = 675,691,070.45/29,837.69
  6. Step 6: Final answer
    x = 22,645.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.