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Finding the Fourth Proportional to 33,066, 45,634.14 and 18,164.88

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Solution

The fourth proportional to 33,066, 45,634.14 and 18,164.88 is: 25,069.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,066 : 45,634.14 = 18,164.88 : x
  2. Step 2: Convert to fraction form
    33,066/45,634.14 = 18,164.88/x
  3. Step 3: Cross multiply
    33,066x = 45,634.14 × 18,164.88
  4. Step 4: Simplify right side
    33,066x = 828,938,677.00
  5. Step 5: Solve for x
    x = 828,938,677.00/33,066
  6. Step 6: Final answer
    x = 25,069.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.