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Finding the Fourth Proportional to 82,022.68, 113,183.88 and 46,218.52

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Solution

The fourth proportional to 82,022.68, 113,183.88 and 46,218.52 is: 63,777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,022.68 : 113,183.88 = 46,218.52 : x
  2. Step 2: Convert to fraction form
    82,022.68/113,183.88 = 46,218.52/x
  3. Step 3: Cross multiply
    82,022.68x = 113,183.88 × 46,218.52
  4. Step 4: Simplify right side
    82,022.68x = 5,231,191,421.46
  5. Step 5: Solve for x
    x = 5,231,191,421.46/82,022.68
  6. Step 6: Final answer
    x = 63,777.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.