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Finding the Fourth Proportional to 53,427.41, 80,119.20 and 23,825

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Solution

The fourth proportional to 53,427.41, 80,119.20 and 23,825 is: 35,727.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,427.41 : 80,119.20 = 23,825 : x
  2. Step 2: Convert to fraction form
    53,427.41/80,119.20 = 23,825/x
  3. Step 3: Cross multiply
    53,427.41x = 80,119.20 × 23,825
  4. Step 4: Simplify right side
    53,427.41x = 1,908,839,940
  5. Step 5: Solve for x
    x = 1,908,839,940/53,427.41
  6. Step 6: Final answer
    x = 35,727.73

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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.