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Finding the Fourth Proportional to 97,638.82, 134,738.49 and 55,194.82

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Solution

The fourth proportional to 97,638.82, 134,738.49 and 55,194.82 is: 76,167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,638.82 : 134,738.49 = 55,194.82 : x
  2. Step 2: Convert to fraction form
    97,638.82/134,738.49 = 55,194.82/x
  3. Step 3: Cross multiply
    97,638.82x = 134,738.49 × 55,194.82
  4. Step 4: Simplify right side
    97,638.82x = 7,436,866,702.62
  5. Step 5: Solve for x
    x = 7,436,866,702.62/97,638.82
  6. Step 6: Final answer
    x = 76,167.11

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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.