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Finding the Fourth Proportional to 77,266, 106,627.08 and 41,938

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Solution

The fourth proportional to 77,266, 106,627.08 and 41,938 is: 57,874.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,266 : 106,627.08 = 41,938 : x
  2. Step 2: Convert to fraction form
    77,266/106,627.08 = 41,938/x
  3. Step 3: Cross multiply
    77,266x = 106,627.08 × 41,938
  4. Step 4: Simplify right side
    77,266x = 4,471,726,481.04
  5. Step 5: Solve for x
    x = 4,471,726,481.04/77,266
  6. Step 6: Final answer
    x = 57,874.44

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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.