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Finding the Fourth Proportional to 30,843.82, 46,256.16 and 11,119.82

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Solution

The fourth proportional to 30,843.82, 46,256.16 and 11,119.82 is: 16,676.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.82 : 46,256.16 = 11,119.82 : x
  2. Step 2: Convert to fraction form
    30,843.82/46,256.16 = 11,119.82/x
  3. Step 3: Cross multiply
    30,843.82x = 46,256.16 × 11,119.82
  4. Step 4: Simplify right side
    30,843.82x = 514,360,173.09
  5. Step 5: Solve for x
    x = 514,360,173.09/30,843.82
  6. Step 6: Final answer
    x = 16,676.28

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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.