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Finding the Fourth Proportional to 38,144.16, 57,216.24 and 15,968.16

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Solution

The fourth proportional to 38,144.16, 57,216.24 and 15,968.16 is: 23,952.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,144.16 : 57,216.24 = 15,968.16 : x
  2. Step 2: Convert to fraction form
    38,144.16/57,216.24 = 15,968.16/x
  3. Step 3: Cross multiply
    38,144.16x = 57,216.24 × 15,968.16
  4. Step 4: Simplify right side
    38,144.16x = 913,638,074.92
  5. Step 5: Solve for x
    x = 913,638,074.92/38,144.16
  6. Step 6: Final answer
    x = 23,952.24

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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.