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Finding the Fourth Proportional to 61,647.46, 85,046.37 and 36,140.86

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Solution

The fourth proportional to 61,647.46, 85,046.37 and 36,140.86 is: 49,858.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,647.46 : 85,046.37 = 36,140.86 : x
  2. Step 2: Convert to fraction form
    61,647.46/85,046.37 = 36,140.86/x
  3. Step 3: Cross multiply
    61,647.46x = 85,046.37 × 36,140.86
  4. Step 4: Simplify right side
    61,647.46x = 3,073,648,951.68
  5. Step 5: Solve for x
    x = 3,073,648,951.68/61,647.46
  6. Step 6: Final answer
    x = 49,858.48

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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.