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Finding the Fourth Proportional to 84,078.98, 116,029.78 and 46,354.58

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Solution

The fourth proportional to 84,078.98, 116,029.78 and 46,354.58 is: 63,969.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,078.98 : 116,029.78 = 46,354.58 : x
  2. Step 2: Convert to fraction form
    84,078.98/116,029.78 = 46,354.58/x
  3. Step 3: Cross multiply
    84,078.98x = 116,029.78 × 46,354.58
  4. Step 4: Simplify right side
    84,078.98x = 5,378,511,719.39
  5. Step 5: Solve for x
    x = 5,378,511,719.39/84,078.98
  6. Step 6: Final answer
    x = 63,969.75

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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.