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Finding the Fourth Proportional to 30,654.26, 45,958.08 and 15,853.74

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Solution

The fourth proportional to 30,654.26, 45,958.08 and 15,853.74 is: 23,768.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,654.26 : 45,958.08 = 15,853.74 : x
  2. Step 2: Convert to fraction form
    30,654.26/45,958.08 = 15,853.74/x
  3. Step 3: Cross multiply
    30,654.26x = 45,958.08 × 15,853.74
  4. Step 4: Simplify right side
    30,654.26x = 728,607,451.22
  5. Step 5: Solve for x
    x = 728,607,451.22/30,654.26
  6. Step 6: Final answer
    x = 23,768.56

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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.