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Finding the Fourth Proportional to 30,951.96, 46,427.86 and 11,230.48

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Solution

The fourth proportional to 30,951.96, 46,427.86 and 11,230.48 is: 16,845.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,951.96 : 46,427.86 = 11,230.48 : x
  2. Step 2: Convert to fraction form
    30,951.96/46,427.86 = 11,230.48/x
  3. Step 3: Cross multiply
    30,951.96x = 46,427.86 × 11,230.48
  4. Step 4: Simplify right side
    30,951.96x = 521,407,153.17
  5. Step 5: Solve for x
    x = 521,407,153.17/30,951.96
  6. Step 6: Final answer
    x = 16,845.69

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1.5x scale

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.