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Finding the Fourth Proportional to 33,161.40, 49,742.10 and 10,978.20

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Solution

The fourth proportional to 33,161.40, 49,742.10 and 10,978.20 is: 16,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,161.40 : 49,742.10 = 10,978.20 : x
  2. Step 2: Convert to fraction form
    33,161.40/49,742.10 = 10,978.20/x
  3. Step 3: Cross multiply
    33,161.40x = 49,742.10 × 10,978.20
  4. Step 4: Simplify right side
    33,161.40x = 546,078,722.22
  5. Step 5: Solve for x
    x = 546,078,722.22/33,161.40
  6. Step 6: Final answer
    x = 16,467.30

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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.