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Finding the Fourth Proportional to 82,057.64, 113,249.94 and 46,256.48

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Solution

The fourth proportional to 82,057.64, 113,249.94 and 46,256.48 is: 63,839.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,057.64 : 113,249.94 = 46,256.48 : x
  2. Step 2: Convert to fraction form
    82,057.64/113,249.94 = 46,256.48/x
  3. Step 3: Cross multiply
    82,057.64x = 113,249.94 × 46,256.48
  4. Step 4: Simplify right side
    82,057.64x = 5,238,543,584.61
  5. Step 5: Solve for x
    x = 5,238,543,584.61/82,057.64
  6. Step 6: Final answer
    x = 63,839.80

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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.