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Finding the Fourth Proportional to 33,907.96, 46,782.12 and 20,483.20

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Solution

The fourth proportional to 33,907.96, 46,782.12 and 20,483.20 is: 28,260.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,907.96 : 46,782.12 = 20,483.20 : x
  2. Step 2: Convert to fraction form
    33,907.96/46,782.12 = 20,483.20/x
  3. Step 3: Cross multiply
    33,907.96x = 46,782.12 × 20,483.20
  4. Step 4: Simplify right side
    33,907.96x = 958,247,520.38
  5. Step 5: Solve for x
    x = 958,247,520.38/33,907.96
  6. Step 6: Final answer
    x = 28,260.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.