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Finding the Fourth Proportional to 84,744.25, 116,946.75 and 46,504.44

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Solution

The fourth proportional to 84,744.25, 116,946.75 and 46,504.44 is: 64,175.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,744.25 : 116,946.75 = 46,504.44 : x
  2. Step 2: Convert to fraction form
    84,744.25/116,946.75 = 46,504.44/x
  3. Step 3: Cross multiply
    84,744.25x = 116,946.75 × 46,504.44
  4. Step 4: Simplify right side
    84,744.25x = 5,438,543,118.57
  5. Step 5: Solve for x
    x = 5,438,543,118.57/84,744.25
  6. Step 6: Final answer
    x = 64,175.95

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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.