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Finding the Fourth Proportional to 85,951.56, 118,618.38 and 57,221.64

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Solution

The fourth proportional to 85,951.56, 118,618.38 and 57,221.64 is: 78,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,951.56 : 118,618.38 = 57,221.64 : x
  2. Step 2: Convert to fraction form
    85,951.56/118,618.38 = 57,221.64/x
  3. Step 3: Cross multiply
    85,951.56x = 118,618.38 × 57,221.64
  4. Step 4: Simplify right side
    85,951.56x = 6,787,538,237.74
  5. Step 5: Solve for x
    x = 6,787,538,237.74/85,951.56
  6. Step 6: Final answer
    x = 78,969.34

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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.