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Finding the Fourth Proportional to 82,228.37, 113,469.66 and 46,411.38

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Solution

The fourth proportional to 82,228.37, 113,469.66 and 46,411.38 is: 64,044.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,228.37 : 113,469.66 = 46,411.38 : x
  2. Step 2: Convert to fraction form
    82,228.37/113,469.66 = 46,411.38/x
  3. Step 3: Cross multiply
    82,228.37x = 113,469.66 × 46,411.38
  4. Step 4: Simplify right side
    82,228.37x = 5,266,283,508.73
  5. Step 5: Solve for x
    x = 5,266,283,508.73/82,228.37
  6. Step 6: Final answer
    x = 64,044.61

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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.