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Finding the Fourth Proportional to 30,943.38, 42,702.82 and 18,194.26

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Solution

The fourth proportional to 30,943.38, 42,702.82 and 18,194.26 is: 25,108.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,943.38 : 42,702.82 = 18,194.26 : x
  2. Step 2: Convert to fraction form
    30,943.38/42,702.82 = 18,194.26/x
  3. Step 3: Cross multiply
    30,943.38x = 42,702.82 × 18,194.26
  4. Step 4: Simplify right side
    30,943.38x = 776,946,209.81
  5. Step 5: Solve for x
    x = 776,946,209.81/30,943.38
  6. Step 6: Final answer
    x = 25,108.64

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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.