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Finding the Fourth Proportional to 51,049.44, 76,574.16 and 23,328

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Solution

The fourth proportional to 51,049.44, 76,574.16 and 23,328 is: 34,992

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,049.44 : 76,574.16 = 23,328 : x
  2. Step 2: Convert to fraction form
    51,049.44/76,574.16 = 23,328/x
  3. Step 3: Cross multiply
    51,049.44x = 76,574.16 × 23,328
  4. Step 4: Simplify right side
    51,049.44x = 1,786,322,004.48
  5. Step 5: Solve for x
    x = 1,786,322,004.48/51,049.44
  6. Step 6: Final answer
    x = 34,992

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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.