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Finding the Fourth Proportional to 68,108.96, 102,138.16 and 23,724.32

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Solution

The fourth proportional to 68,108.96, 102,138.16 and 23,724.32 is: 35,577.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,108.96 : 102,138.16 = 23,724.32 : x
  2. Step 2: Convert to fraction form
    68,108.96/102,138.16 = 23,724.32/x
  3. Step 3: Cross multiply
    68,108.96x = 102,138.16 × 23,724.32
  4. Step 4: Simplify right side
    68,108.96x = 2,423,158,392.05
  5. Step 5: Solve for x
    x = 2,423,158,392.05/68,108.96
  6. Step 6: Final answer
    x = 35,577.67

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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.