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Finding the Fourth Proportional to 109,880.67, 164,819.75 and 26,774.67

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Solution

The fourth proportional to 109,880.67, 164,819.75 and 26,774.67 is: 40,161.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,880.67 : 164,819.75 = 26,774.67 : x
  2. Step 2: Convert to fraction form
    109,880.67/164,819.75 = 26,774.67/x
  3. Step 3: Cross multiply
    109,880.67x = 164,819.75 × 26,774.67
  4. Step 4: Simplify right side
    109,880.67x = 4,412,994,281.86
  5. Step 5: Solve for x
    x = 4,412,994,281.86/109,880.67
  6. Step 6: Final answer
    x = 40,161.70

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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.