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Finding the Fourth Proportional to 106,968, 160,460.64 and 33,096

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Solution

The fourth proportional to 106,968, 160,460.64 and 33,096 is: 49,646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,968 : 160,460.64 = 33,096 : x
  2. Step 2: Convert to fraction form
    106,968/160,460.64 = 33,096/x
  3. Step 3: Cross multiply
    106,968x = 160,460.64 × 33,096
  4. Step 4: Simplify right side
    106,968x = 5,310,605,341.44
  5. Step 5: Solve for x
    x = 5,310,605,341.44/106,968
  6. Step 6: Final answer
    x = 49,646.67

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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.