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Finding the Fourth Proportional to 66,142.17, 91,284.17 and 37,847.25

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Solution

The fourth proportional to 66,142.17, 91,284.17 and 37,847.25 is: 52,233.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,142.17 : 91,284.17 = 37,847.25 : x
  2. Step 2: Convert to fraction form
    66,142.17/91,284.17 = 37,847.25/x
  3. Step 3: Cross multiply
    66,142.17x = 91,284.17 × 37,847.25
  4. Step 4: Simplify right side
    66,142.17x = 3,454,854,613.80
  5. Step 5: Solve for x
    x = 3,454,854,613.80/66,142.17
  6. Step 6: Final answer
    x = 52,233.77

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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.