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Finding the Fourth Proportional to 84,046.65, 116,097.96 and 67,169.19

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Solution

The fourth proportional to 84,046.65, 116,097.96 and 67,169.19 is: 92,784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,046.65 : 116,097.96 = 67,169.19 : x
  2. Step 2: Convert to fraction form
    84,046.65/116,097.96 = 67,169.19/x
  3. Step 3: Cross multiply
    84,046.65x = 116,097.96 × 67,169.19
  4. Step 4: Simplify right side
    84,046.65x = 7,798,205,452.61
  5. Step 5: Solve for x
    x = 7,798,205,452.61/84,046.65
  6. Step 6: Final answer
    x = 92,784.25

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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.