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Finding the Fourth Proportional to 84,578.04, 116,724.81 and 46,855.80

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Solution

The fourth proportional to 84,578.04, 116,724.81 and 46,855.80 is: 64,664.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,578.04 : 116,724.81 = 46,855.80 : x
  2. Step 2: Convert to fraction form
    84,578.04/116,724.81 = 46,855.80/x
  3. Step 3: Cross multiply
    84,578.04x = 116,724.81 × 46,855.80
  4. Step 4: Simplify right side
    84,578.04x = 5,469,234,352.40
  5. Step 5: Solve for x
    x = 5,469,234,352.40/84,578.04
  6. Step 6: Final answer
    x = 64,664.95

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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.