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Finding the Fourth Proportional to 84,476.94, 116,579.43 and 46,752.54

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Solution

The fourth proportional to 84,476.94, 116,579.43 and 46,752.54 is: 64,519.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,476.94 : 116,579.43 = 46,752.54 : x
  2. Step 2: Convert to fraction form
    84,476.94/116,579.43 = 46,752.54/x
  3. Step 3: Cross multiply
    84,476.94x = 116,579.43 × 46,752.54
  4. Step 4: Simplify right side
    84,476.94x = 5,450,384,464.25
  5. Step 5: Solve for x
    x = 5,450,384,464.25/84,476.94
  6. Step 6: Final answer
    x = 64,519.20

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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.