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Finding the Fourth Proportional to 100,077.84, 150,066.12 and 33,494.16

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Solution

The fourth proportional to 100,077.84, 150,066.12 and 33,494.16 is: 50,224.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,077.84 : 150,066.12 = 33,494.16 : x
  2. Step 2: Convert to fraction form
    100,077.84/150,066.12 = 33,494.16/x
  3. Step 3: Cross multiply
    100,077.84x = 150,066.12 × 33,494.16
  4. Step 4: Simplify right side
    100,077.84x = 5,026,338,633.86
  5. Step 5: Solve for x
    x = 5,026,338,633.86/100,077.84
  6. Step 6: Final answer
    x = 50,224.29

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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.