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Finding the Fourth Proportional to 100,536.40, 150,742.68 and 33,970.24

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Solution

The fourth proportional to 100,536.40, 150,742.68 and 33,970.24 is: 50,934.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,536.40 : 150,742.68 = 33,970.24 : x
  2. Step 2: Convert to fraction form
    100,536.40/150,742.68 = 33,970.24/x
  3. Step 3: Cross multiply
    100,536.40x = 150,742.68 × 33,970.24
  4. Step 4: Simplify right side
    100,536.40x = 5,120,765,017.84
  5. Step 5: Solve for x
    x = 5,120,765,017.84/100,536.40
  6. Step 6: Final answer
    x = 50,934.44

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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.