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Finding the Fourth Proportional to 85,206.60, 127,845 and 35,296.74

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Solution

The fourth proportional to 85,206.60, 127,845 and 35,296.74 is: 52,959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,206.60 : 127,845 = 35,296.74 : x
  2. Step 2: Convert to fraction form
    85,206.60/127,845 = 35,296.74/x
  3. Step 3: Cross multiply
    85,206.60x = 127,845 × 35,296.74
  4. Step 4: Simplify right side
    85,206.60x = 4,512,511,725.30
  5. Step 5: Solve for x
    x = 4,512,511,725.30/85,206.60
  6. Step 6: Final answer
    x = 52,959.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.