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Finding the Fourth Proportional to 106,872, 160,316.64 and 33,000

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Solution

The fourth proportional to 106,872, 160,316.64 and 33,000 is: 49,502.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,872 : 160,316.64 = 33,000 : x
  2. Step 2: Convert to fraction form
    106,872/160,316.64 = 33,000/x
  3. Step 3: Cross multiply
    106,872x = 160,316.64 × 33,000
  4. Step 4: Simplify right side
    106,872x = 5,290,449,120
  5. Step 5: Solve for x
    x = 5,290,449,120/106,872
  6. Step 6: Final answer
    x = 49,502.67

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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.