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Finding the Fourth Proportional to 68,352.96, 102,555.84 and 23,984.64

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Solution

The fourth proportional to 68,352.96, 102,555.84 and 23,984.64 is: 35,986.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,352.96 : 102,555.84 = 23,984.64 : x
  2. Step 2: Convert to fraction form
    68,352.96/102,555.84 = 23,984.64/x
  3. Step 3: Cross multiply
    68,352.96x = 102,555.84 × 23,984.64
  4. Step 4: Simplify right side
    68,352.96x = 2,459,764,902.30
  5. Step 5: Solve for x
    x = 2,459,764,902.30/68,352.96
  6. Step 6: Final answer
    x = 35,986.22

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Why These Related Problems?

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