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Finding the Fourth Proportional to 84,022.96, 115,952.04 and 46,297.24

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Solution

The fourth proportional to 84,022.96, 115,952.04 and 46,297.24 is: 63,890.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,022.96 : 115,952.04 = 46,297.24 : x
  2. Step 2: Convert to fraction form
    84,022.96/115,952.04 = 46,297.24/x
  3. Step 3: Cross multiply
    84,022.96x = 115,952.04 × 46,297.24
  4. Step 4: Simplify right side
    84,022.96x = 5,368,259,424.37
  5. Step 5: Solve for x
    x = 5,368,259,424.37/84,022.96
  6. Step 6: Final answer
    x = 63,890.39

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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.