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Finding the Fourth Proportional to 84,009.38, 115,932.94 and 46,284.44

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Solution

The fourth proportional to 84,009.38, 115,932.94 and 46,284.44 is: 63,872.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,009.38 : 115,932.94 = 46,284.44 : x
  2. Step 2: Convert to fraction form
    84,009.38/115,932.94 = 46,284.44/x
  3. Step 3: Cross multiply
    84,009.38x = 115,932.94 × 46,284.44
  4. Step 4: Simplify right side
    84,009.38x = 5,365,890,625.79
  5. Step 5: Solve for x
    x = 5,365,890,625.79/84,009.38
  6. Step 6: Final answer
    x = 63,872.52

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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.