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Finding the Fourth Proportional to 110,461.50, 165,693.96 and 27,355.50

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Solution

The fourth proportional to 110,461.50, 165,693.96 and 27,355.50 is: 41,033.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,461.50 : 165,693.96 = 27,355.50 : x
  2. Step 2: Convert to fraction form
    110,461.50/165,693.96 = 27,355.50/x
  3. Step 3: Cross multiply
    110,461.50x = 165,693.96 × 27,355.50
  4. Step 4: Simplify right side
    110,461.50x = 4,532,641,122.78
  5. Step 5: Solve for x
    x = 4,532,641,122.78/110,461.50
  6. Step 6: Final answer
    x = 41,033.67

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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.