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Finding the Fourth Proportional to 26,150.49, 36,072.63 and 16,071.78

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Solution

The fourth proportional to 26,150.49, 36,072.63 and 16,071.78 is: 22,169.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,150.49 : 36,072.63 = 16,071.78 : x
  2. Step 2: Convert to fraction form
    26,150.49/36,072.63 = 16,071.78/x
  3. Step 3: Cross multiply
    26,150.49x = 36,072.63 × 16,071.78
  4. Step 4: Simplify right side
    26,150.49x = 579,751,373.38
  5. Step 5: Solve for x
    x = 579,751,373.38/26,150.49
  6. Step 6: Final answer
    x = 22,169.81

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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.