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Finding the Fourth Proportional to 68,442.60, 102,683.10 and 33,383.40

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Solution

The fourth proportional to 68,442.60, 102,683.10 and 33,383.40 is: 50,084.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,442.60 : 102,683.10 = 33,383.40 : x
  2. Step 2: Convert to fraction form
    68,442.60/102,683.10 = 33,383.40/x
  3. Step 3: Cross multiply
    68,442.60x = 102,683.10 × 33,383.40
  4. Step 4: Simplify right side
    68,442.60x = 3,427,911,000.54
  5. Step 5: Solve for x
    x = 3,427,911,000.54/68,442.60
  6. Step 6: Final answer
    x = 50,084.46

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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.