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Finding the Fourth Proportional to 68,419.85, 102,629.77 and 54,656.33

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Solution

The fourth proportional to 68,419.85, 102,629.77 and 54,656.33 is: 81,984.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,419.85 : 102,629.77 = 54,656.33 : x
  2. Step 2: Convert to fraction form
    68,419.85/102,629.77 = 54,656.33/x
  3. Step 3: Cross multiply
    68,419.85x = 102,629.77 × 54,656.33
  4. Step 4: Simplify right side
    68,419.85x = 5,609,365,927.15
  5. Step 5: Solve for x
    x = 5,609,365,927.15/68,419.85
  6. Step 6: Final answer
    x = 81,984.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.