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Finding the Fourth Proportional to 29,777.38, 41,093.30 and 16,349.20

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Solution

The fourth proportional to 29,777.38, 41,093.30 and 16,349.20 is: 22,562.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,777.38 : 41,093.30 = 16,349.20 : x
  2. Step 2: Convert to fraction form
    29,777.38/41,093.30 = 16,349.20/x
  3. Step 3: Cross multiply
    29,777.38x = 41,093.30 × 16,349.20
  4. Step 4: Simplify right side
    29,777.38x = 671,842,395.88
  5. Step 5: Solve for x
    x = 671,842,395.88/29,777.38
  6. Step 6: Final answer
    x = 22,562.17

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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.