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Finding the Fourth Proportional to 33,178.77, 45,786.96 and 18,071.46

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Solution

The fourth proportional to 33,178.77, 45,786.96 and 18,071.46 is: 24,938.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,178.77 : 45,786.96 = 18,071.46 : x
  2. Step 2: Convert to fraction form
    33,178.77/45,786.96 = 18,071.46/x
  3. Step 3: Cross multiply
    33,178.77x = 45,786.96 × 18,071.46
  4. Step 4: Simplify right side
    33,178.77x = 827,437,216.16
  5. Step 5: Solve for x
    x = 827,437,216.16/33,178.77
  6. Step 6: Final answer
    x = 24,938.75

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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.