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Finding the Fourth Proportional to 84,674.94, 116,845.17 and 46,428.36

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Solution

The fourth proportional to 84,674.94, 116,845.17 and 46,428.36 is: 64,067.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,674.94 : 116,845.17 = 46,428.36 : x
  2. Step 2: Convert to fraction form
    84,674.94/116,845.17 = 46,428.36/x
  3. Step 3: Cross multiply
    84,674.94x = 116,845.17 × 46,428.36
  4. Step 4: Simplify right side
    84,674.94x = 5,424,929,617.02
  5. Step 5: Solve for x
    x = 5,424,929,617.02/84,674.94
  6. Step 6: Final answer
    x = 64,067.71

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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.