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Finding the Fourth Proportional to 33,178.64, 45,785.16 and 18,071

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Solution

The fourth proportional to 33,178.64, 45,785.16 and 18,071 is: 24,937.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,178.64 : 45,785.16 = 18,071 : x
  2. Step 2: Convert to fraction form
    33,178.64/45,785.16 = 18,071/x
  3. Step 3: Cross multiply
    33,178.64x = 45,785.16 × 18,071
  4. Step 4: Simplify right side
    33,178.64x = 827,383,626.36
  5. Step 5: Solve for x
    x = 827,383,626.36/33,178.64
  6. Step 6: Final answer
    x = 24,937.24

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