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Finding the Fourth Proportional to 68,029.83, 102,091.19 and 23,656.14

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Solution

The fourth proportional to 68,029.83, 102,091.19 and 23,656.14 is: 35,500.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,029.83 : 102,091.19 = 23,656.14 : x
  2. Step 2: Convert to fraction form
    68,029.83/102,091.19 = 23,656.14/x
  3. Step 3: Cross multiply
    68,029.83x = 102,091.19 × 23,656.14
  4. Step 4: Simplify right side
    68,029.83x = 2,415,083,365.13
  5. Step 5: Solve for x
    x = 2,415,083,365.13/68,029.83
  6. Step 6: Final answer
    x = 35,500.36

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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.