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Finding the Fourth Proportional to 84,046.19, 115,982.03 and 46,320.44

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Solution

The fourth proportional to 84,046.19, 115,982.03 and 46,320.44 is: 63,921.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,046.19 : 115,982.03 = 46,320.44 : x
  2. Step 2: Convert to fraction form
    84,046.19/115,982.03 = 46,320.44/x
  3. Step 3: Cross multiply
    84,046.19x = 115,982.03 × 46,320.44
  4. Step 4: Simplify right side
    84,046.19x = 5,372,338,661.69
  5. Step 5: Solve for x
    x = 5,372,338,661.69/84,046.19
  6. Step 6: Final answer
    x = 63,921.26

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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.