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Finding the Fourth Proportional to 83,665.98, 115,418.52 and 55,395.36

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Solution

The fourth proportional to 83,665.98, 115,418.52 and 55,395.36 is: 76,418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,665.98 : 115,418.52 = 55,395.36 : x
  2. Step 2: Convert to fraction form
    83,665.98/115,418.52 = 55,395.36/x
  3. Step 3: Cross multiply
    83,665.98x = 115,418.52 × 55,395.36
  4. Step 4: Simplify right side
    83,665.98x = 6,393,650,466.07
  5. Step 5: Solve for x
    x = 6,393,650,466.07/83,665.98
  6. Step 6: Final answer
    x = 76,418.76

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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.