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Finding the Fourth Proportional to 85,542.32, 118,043.62 and 47,299.64

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Solution

The fourth proportional to 85,542.32, 118,043.62 and 47,299.64 is: 65,270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,542.32 : 118,043.62 = 47,299.64 : x
  2. Step 2: Convert to fraction form
    85,542.32/118,043.62 = 47,299.64/x
  3. Step 3: Cross multiply
    85,542.32x = 118,043.62 × 47,299.64
  4. Step 4: Simplify right side
    85,542.32x = 5,583,420,021.83
  5. Step 5: Solve for x
    x = 5,583,420,021.83/85,542.32
  6. Step 6: Final answer
    x = 65,270.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.