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Finding the Fourth Proportional to 85,896.64, 118,544.16 and 47,659.96

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Solution

The fourth proportional to 85,896.64, 118,544.16 and 47,659.96 is: 65,774.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,896.64 : 118,544.16 = 47,659.96 : x
  2. Step 2: Convert to fraction form
    85,896.64/118,544.16 = 47,659.96/x
  3. Step 3: Cross multiply
    85,896.64x = 118,544.16 × 47,659.96
  4. Step 4: Simplify right side
    85,896.64x = 5,649,809,923.83
  5. Step 5: Solve for x
    x = 5,649,809,923.83/85,896.64
  6. Step 6: Final answer
    x = 65,774.52

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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.