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Finding the Fourth Proportional to 85,951.13, 118,619.64 and 47,713.05

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Solution

The fourth proportional to 85,951.13, 118,619.64 and 47,713.05 is: 65,847.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,951.13 : 118,619.64 = 47,713.05 : x
  2. Step 2: Convert to fraction form
    85,951.13/118,619.64 = 47,713.05/x
  3. Step 3: Cross multiply
    85,951.13x = 118,619.64 × 47,713.05
  4. Step 4: Simplify right side
    85,951.13x = 5,659,704,814.30
  5. Step 5: Solve for x
    x = 5,659,704,814.30/85,951.13
  6. Step 6: Final answer
    x = 65,847.94

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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.