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Finding the Fourth Proportional to 53,425.41, 80,116.20 and 23,823

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Solution

The fourth proportional to 53,425.41, 80,116.20 and 23,823 is: 35,724.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,425.41 : 80,116.20 = 23,823 : x
  2. Step 2: Convert to fraction form
    53,425.41/80,116.20 = 23,823/x
  3. Step 3: Cross multiply
    53,425.41x = 80,116.20 × 23,823
  4. Step 4: Simplify right side
    53,425.41x = 1,908,608,232.60
  5. Step 5: Solve for x
    x = 1,908,608,232.60/53,425.41
  6. Step 6: Final answer
    x = 35,724.73

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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.