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Finding the Fourth Proportional to 33,178.58, 45,786.74 and 18,071.31

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Solution

The fourth proportional to 33,178.58, 45,786.74 and 18,071.31 is: 24,938.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,178.58 : 45,786.74 = 18,071.31 : x
  2. Step 2: Convert to fraction form
    33,178.58/45,786.74 = 18,071.31/x
  3. Step 3: Cross multiply
    33,178.58x = 45,786.74 × 18,071.31
  4. Step 4: Simplify right side
    33,178.58x = 827,426,282.07
  5. Step 5: Solve for x
    x = 827,426,282.07/33,178.58
  6. Step 6: Final answer
    x = 24,938.57

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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.