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Finding the Fourth Proportional to 30,458.28, 45,670.14 and 22,233

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Solution

The fourth proportional to 30,458.28, 45,670.14 and 22,233 is: 33,336.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,458.28 : 45,670.14 = 22,233 : x
  2. Step 2: Convert to fraction form
    30,458.28/45,670.14 = 22,233/x
  3. Step 3: Cross multiply
    30,458.28x = 45,670.14 × 22,233
  4. Step 4: Simplify right side
    30,458.28x = 1,015,384,222.62
  5. Step 5: Solve for x
    x = 1,015,384,222.62/30,458.28
  6. Step 6: Final answer
    x = 33,336.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.