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Finding the Fourth Proportional to 30,101.44, 41,539.53 and 16,489.38

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Solution

The fourth proportional to 30,101.44, 41,539.53 and 16,489.38 is: 22,755.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,101.44 : 41,539.53 = 16,489.38 : x
  2. Step 2: Convert to fraction form
    30,101.44/41,539.53 = 16,489.38/x
  3. Step 3: Cross multiply
    30,101.44x = 41,539.53 × 16,489.38
  4. Step 4: Simplify right side
    30,101.44x = 684,960,887.49
  5. Step 5: Solve for x
    x = 684,960,887.49/30,101.44
  6. Step 6: Final answer
    x = 22,755.09

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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.