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Finding the Fourth Proportional to 30,940.38, 42,700.49 and 18,187.17

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Solution

The fourth proportional to 30,940.38, 42,700.49 and 18,187.17 is: 25,099.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,940.38 : 42,700.49 = 18,187.17 : x
  2. Step 2: Convert to fraction form
    30,940.38/42,700.49 = 18,187.17/x
  3. Step 3: Cross multiply
    30,940.38x = 42,700.49 × 18,187.17
  4. Step 4: Simplify right side
    30,940.38x = 776,600,979.78
  5. Step 5: Solve for x
    x = 776,600,979.78/30,940.38
  6. Step 6: Final answer
    x = 25,099.92

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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.