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Finding the Fourth Proportional to 38,512.68, 53,145 and 22,378.56

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Solution

The fourth proportional to 38,512.68, 53,145 and 22,378.56 is: 30,880.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,512.68 : 53,145 = 22,378.56 : x
  2. Step 2: Convert to fraction form
    38,512.68/53,145 = 22,378.56/x
  3. Step 3: Cross multiply
    38,512.68x = 53,145 × 22,378.56
  4. Step 4: Simplify right side
    38,512.68x = 1,189,308,571.20
  5. Step 5: Solve for x
    x = 1,189,308,571.20/38,512.68
  6. Step 6: Final answer
    x = 30,880.96

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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.