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Finding the Fourth Proportional to 37,183.36, 51,313.44 and 20,416

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Solution

The fourth proportional to 37,183.36, 51,313.44 and 20,416 is: 28,174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,183.36 : 51,313.44 = 20,416 : x
  2. Step 2: Convert to fraction form
    37,183.36/51,313.44 = 20,416/x
  3. Step 3: Cross multiply
    37,183.36x = 51,313.44 × 20,416
  4. Step 4: Simplify right side
    37,183.36x = 1,047,615,191.04
  5. Step 5: Solve for x
    x = 1,047,615,191.04/37,183.36
  6. Step 6: Final answer
    x = 28,174.30

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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.