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Finding the Fourth Proportional to 83,817.36, 115,664.94 and 46,091.34

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Solution

The fourth proportional to 83,817.36, 115,664.94 and 46,091.34 is: 63,604.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,817.36 : 115,664.94 = 46,091.34 : x
  2. Step 2: Convert to fraction form
    83,817.36/115,664.94 = 46,091.34/x
  3. Step 3: Cross multiply
    83,817.36x = 115,664.94 × 46,091.34
  4. Step 4: Simplify right side
    83,817.36x = 5,331,152,075.62
  5. Step 5: Solve for x
    x = 5,331,152,075.62/83,817.36
  6. Step 6: Final answer
    x = 63,604.39

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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.