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Finding the Fourth Proportional to 73,696.78, 101,717.94 and 46,834

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Solution

The fourth proportional to 73,696.78, 101,717.94 and 46,834 is: 64,641.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,696.78 : 101,717.94 = 46,834 : x
  2. Step 2: Convert to fraction form
    73,696.78/101,717.94 = 46,834/x
  3. Step 3: Cross multiply
    73,696.78x = 101,717.94 × 46,834
  4. Step 4: Simplify right side
    73,696.78x = 4,763,858,001.96
  5. Step 5: Solve for x
    x = 4,763,858,001.96/73,696.78
  6. Step 6: Final answer
    x = 64,641.33

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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.