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Finding the Fourth Proportional to 29,835.84, 41,174.43 and 16,408.07

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Solution

The fourth proportional to 29,835.84, 41,174.43 and 16,408.07 is: 22,643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,835.84 : 41,174.43 = 16,408.07 : x
  2. Step 2: Convert to fraction form
    29,835.84/41,174.43 = 16,408.07/x
  3. Step 3: Cross multiply
    29,835.84x = 41,174.43 × 16,408.07
  4. Step 4: Simplify right side
    29,835.84x = 675,592,816.65
  5. Step 5: Solve for x
    x = 675,592,816.65/29,835.84
  6. Step 6: Final answer
    x = 22,643.66

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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.