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Finding the Fourth Proportional to 66,086.67, 91,199.69 and 35,872

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Solution

The fourth proportional to 66,086.67, 91,199.69 and 35,872 is: 49,503.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,086.67 : 91,199.69 = 35,872 : x
  2. Step 2: Convert to fraction form
    66,086.67/91,199.69 = 35,872/x
  3. Step 3: Cross multiply
    66,086.67x = 91,199.69 × 35,872
  4. Step 4: Simplify right side
    66,086.67x = 3,271,515,279.68
  5. Step 5: Solve for x
    x = 3,271,515,279.68/66,086.67
  6. Step 6: Final answer
    x = 49,503.41

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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.