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Finding the Fourth Proportional to 84,337, 116,383.50 and 46,610.44

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Solution

The fourth proportional to 84,337, 116,383.50 and 46,610.44 is: 64,321.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,337 : 116,383.50 = 46,610.44 : x
  2. Step 2: Convert to fraction form
    84,337/116,383.50 = 46,610.44/x
  3. Step 3: Cross multiply
    84,337x = 116,383.50 × 46,610.44
  4. Step 4: Simplify right side
    84,337x = 5,424,686,143.74
  5. Step 5: Solve for x
    x = 5,424,686,143.74/84,337
  6. Step 6: Final answer
    x = 64,321.55

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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.