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Finding the Fourth Proportional to 33,830.08, 50,745.20 and 9,206.08

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Solution

The fourth proportional to 33,830.08, 50,745.20 and 9,206.08 is: 13,809.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,830.08 : 50,745.20 = 9,206.08 : x
  2. Step 2: Convert to fraction form
    33,830.08/50,745.20 = 9,206.08/x
  3. Step 3: Cross multiply
    33,830.08x = 50,745.20 × 9,206.08
  4. Step 4: Simplify right side
    33,830.08x = 467,164,370.82
  5. Step 5: Solve for x
    x = 467,164,370.82/33,830.08
  6. Step 6: Final answer
    x = 13,809.14

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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.