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Finding the Fourth Proportional to 29,849.14, 41,188.38 and 16,419.14

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Solution

The fourth proportional to 29,849.14, 41,188.38 and 16,419.14 is: 22,656.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,849.14 : 41,188.38 = 16,419.14 : x
  2. Step 2: Convert to fraction form
    29,849.14/41,188.38 = 16,419.14/x
  3. Step 3: Cross multiply
    29,849.14x = 41,188.38 × 16,419.14
  4. Step 4: Simplify right side
    29,849.14x = 676,277,571.65
  5. Step 5: Solve for x
    x = 676,277,571.65/29,849.14
  6. Step 6: Final answer
    x = 22,656.52

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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.