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Finding the Fourth Proportional to 82,363.91, 113,661.36 and 46,064.97

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Solution

The fourth proportional to 82,363.91, 113,661.36 and 46,064.97 is: 63,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,363.91 : 113,661.36 = 46,064.97 : x
  2. Step 2: Convert to fraction form
    82,363.91/113,661.36 = 46,064.97/x
  3. Step 3: Cross multiply
    82,363.91x = 113,661.36 × 46,064.97
  4. Step 4: Simplify right side
    82,363.91x = 5,235,807,138.56
  5. Step 5: Solve for x
    x = 5,235,807,138.56/82,363.91
  6. Step 6: Final answer
    x = 63,569.20

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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.