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Finding the Fourth Proportional to 82,183.28, 113,416.34 and 46,373.31

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Solution

The fourth proportional to 82,183.28, 113,416.34 and 46,373.31 is: 63,997.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,183.28 : 113,416.34 = 46,373.31 : x
  2. Step 2: Convert to fraction form
    82,183.28/113,416.34 = 46,373.31/x
  3. Step 3: Cross multiply
    82,183.28x = 113,416.34 × 46,373.31
  4. Step 4: Simplify right side
    82,183.28x = 5,259,490,862.02
  5. Step 5: Solve for x
    x = 5,259,490,862.02/82,183.28
  6. Step 6: Final answer
    x = 63,997.10

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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.