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Finding the Fourth Proportional to 30,826.44, 46,228.32 and 11,099.70

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Solution

The fourth proportional to 30,826.44, 46,228.32 and 11,099.70 is: 16,645.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,826.44 : 46,228.32 = 11,099.70 : x
  2. Step 2: Convert to fraction form
    30,826.44/46,228.32 = 11,099.70/x
  3. Step 3: Cross multiply
    30,826.44x = 46,228.32 × 11,099.70
  4. Step 4: Simplify right side
    30,826.44x = 513,120,483.50
  5. Step 5: Solve for x
    x = 513,120,483.50/30,826.44
  6. Step 6: Final answer
    x = 16,645.47

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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.