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Finding the Fourth Proportional to 53,563.68, 80,313.11 and 23,976

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Solution

The fourth proportional to 53,563.68, 80,313.11 and 23,976 is: 35,949.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,563.68 : 80,313.11 = 23,976 : x
  2. Step 2: Convert to fraction form
    53,563.68/80,313.11 = 23,976/x
  3. Step 3: Cross multiply
    53,563.68x = 80,313.11 × 23,976
  4. Step 4: Simplify right side
    53,563.68x = 1,925,587,125.36
  5. Step 5: Solve for x
    x = 1,925,587,125.36/53,563.68
  6. Step 6: Final answer
    x = 35,949.49

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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.