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Finding the Fourth Proportional to 94,265.17, 130,086.81 and 51,824

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Solution

The fourth proportional to 94,265.17, 130,086.81 and 51,824 is: 71,517.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,265.17 : 130,086.81 = 51,824 : x
  2. Step 2: Convert to fraction form
    94,265.17/130,086.81 = 51,824/x
  3. Step 3: Cross multiply
    94,265.17x = 130,086.81 × 51,824
  4. Step 4: Simplify right side
    94,265.17x = 6,741,618,841.44
  5. Step 5: Solve for x
    x = 6,741,618,841.44/94,265.17
  6. Step 6: Final answer
    x = 71,517.61

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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.