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Finding the Fourth Proportional to 100,221.32, 150,326.70 and 33,662.82

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Solution

The fourth proportional to 100,221.32, 150,326.70 and 33,662.82 is: 50,492.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,221.32 : 150,326.70 = 33,662.82 : x
  2. Step 2: Convert to fraction form
    100,221.32/150,326.70 = 33,662.82/x
  3. Step 3: Cross multiply
    100,221.32x = 150,326.70 × 33,662.82
  4. Step 4: Simplify right side
    100,221.32x = 5,060,420,643.29
  5. Step 5: Solve for x
    x = 5,060,420,643.29/100,221.32
  6. Step 6: Final answer
    x = 50,492.46

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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.