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Finding the Fourth Proportional to 68,035.83, 102,100.19 and 23,662.14

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Solution

The fourth proportional to 68,035.83, 102,100.19 and 23,662.14 is: 35,509.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,035.83 : 102,100.19 = 23,662.14 : x
  2. Step 2: Convert to fraction form
    68,035.83/102,100.19 = 23,662.14/x
  3. Step 3: Cross multiply
    68,035.83x = 102,100.19 × 23,662.14
  4. Step 4: Simplify right side
    68,035.83x = 2,415,908,989.81
  5. Step 5: Solve for x
    x = 2,415,908,989.81/68,035.83
  6. Step 6: Final answer
    x = 35,509.36

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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.