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Finding the Fourth Proportional to 30,943.38, 42,702.81 and 18,194.25

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Solution

The fourth proportional to 30,943.38, 42,702.81 and 18,194.25 is: 25,108.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,943.38 : 42,702.81 = 18,194.25 : x
  2. Step 2: Convert to fraction form
    30,943.38/42,702.81 = 18,194.25/x
  3. Step 3: Cross multiply
    30,943.38x = 42,702.81 × 18,194.25
  4. Step 4: Simplify right side
    30,943.38x = 776,945,600.84
  5. Step 5: Solve for x
    x = 776,945,600.84/30,943.38
  6. Step 6: Final answer
    x = 25,108.62

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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.