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Finding the Fourth Proportional to 33,138, 45,730.44 and 18,234

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Solution

The fourth proportional to 33,138, 45,730.44 and 18,234 is: 25,162.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,138 : 45,730.44 = 18,234 : x
  2. Step 2: Convert to fraction form
    33,138/45,730.44 = 18,234/x
  3. Step 3: Cross multiply
    33,138x = 45,730.44 × 18,234
  4. Step 4: Simplify right side
    33,138x = 833,848,842.96
  5. Step 5: Solve for x
    x = 833,848,842.96/33,138
  6. Step 6: Final answer
    x = 25,162.92

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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.