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Finding the Fourth Proportional to 83,839.98, 115,696.86 and 46,114.26

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Solution

The fourth proportional to 83,839.98, 115,696.86 and 46,114.26 is: 63,636.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,839.98 : 115,696.86 = 46,114.26 : x
  2. Step 2: Convert to fraction form
    83,839.98/115,696.86 = 46,114.26/x
  3. Step 3: Cross multiply
    83,839.98x = 115,696.86 × 46,114.26
  4. Step 4: Simplify right side
    83,839.98x = 5,335,275,083.22
  5. Step 5: Solve for x
    x = 5,335,275,083.22/83,839.98
  6. Step 6: Final answer
    x = 63,636.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.