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Finding the Fourth Proportional to 82,169.82, 113,394.33 and 46,359.51

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Solution

The fourth proportional to 82,169.82, 113,394.33 and 46,359.51 is: 63,976.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,169.82 : 113,394.33 = 46,359.51 : x
  2. Step 2: Convert to fraction form
    82,169.82/113,394.33 = 46,359.51/x
  3. Step 3: Cross multiply
    82,169.82x = 113,394.33 × 46,359.51
  4. Step 4: Simplify right side
    82,169.82x = 5,256,905,575.58
  5. Step 5: Solve for x
    x = 5,256,905,575.58/82,169.82
  6. Step 6: Final answer
    x = 63,976.11

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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.