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Finding the Fourth Proportional to 61,442.84, 84,817.24 and 41,311.40

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Solution

The fourth proportional to 61,442.84, 84,817.24 and 41,311.40 is: 57,027.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,442.84 : 84,817.24 = 41,311.40 : x
  2. Step 2: Convert to fraction form
    61,442.84/84,817.24 = 41,311.40/x
  3. Step 3: Cross multiply
    61,442.84x = 84,817.24 × 41,311.40
  4. Step 4: Simplify right side
    61,442.84x = 3,503,918,928.54
  5. Step 5: Solve for x
    x = 3,503,918,928.54/61,442.84
  6. Step 6: Final answer
    x = 57,027.29

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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.