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Finding the Fourth Proportional to 29,836.98, 41,176.10 and 16,409.28

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Solution

The fourth proportional to 29,836.98, 41,176.10 and 16,409.28 is: 22,645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,836.98 : 41,176.10 = 16,409.28 : x
  2. Step 2: Convert to fraction form
    29,836.98/41,176.10 = 16,409.28/x
  3. Step 3: Cross multiply
    29,836.98x = 41,176.10 × 16,409.28
  4. Step 4: Simplify right side
    29,836.98x = 675,670,154.21
  5. Step 5: Solve for x
    x = 675,670,154.21/29,836.98
  6. Step 6: Final answer
    x = 22,645.39

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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.