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Finding the Fourth Proportional to 53,414.42, 80,121.63 and 23,825.12

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Solution

The fourth proportional to 53,414.42, 80,121.63 and 23,825.12 is: 35,737.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,414.42 : 80,121.63 = 23,825.12 : x
  2. Step 2: Convert to fraction form
    53,414.42/80,121.63 = 23,825.12/x
  3. Step 3: Cross multiply
    53,414.42x = 80,121.63 × 23,825.12
  4. Step 4: Simplify right side
    53,414.42x = 1,908,907,449.35
  5. Step 5: Solve for x
    x = 1,908,907,449.35/53,414.42
  6. Step 6: Final answer
    x = 35,737.68

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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.