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Finding the Fourth Proportional to 30,939.14, 42,696.05 and 16,791.98

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Solution

The fourth proportional to 30,939.14, 42,696.05 and 16,791.98 is: 23,172.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,939.14 : 42,696.05 = 16,791.98 : x
  2. Step 2: Convert to fraction form
    30,939.14/42,696.05 = 16,791.98/x
  3. Step 3: Cross multiply
    30,939.14x = 42,696.05 × 16,791.98
  4. Step 4: Simplify right side
    30,939.14x = 716,951,143.32
  5. Step 5: Solve for x
    x = 716,951,143.32/30,939.14
  6. Step 6: Final answer
    x = 23,172.95

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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.