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Finding the Fourth Proportional to 30,190.95, 45,245.25 and 11,460.96

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Solution

The fourth proportional to 30,190.95, 45,245.25 and 11,460.96 is: 17,175.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,190.95 : 45,245.25 = 11,460.96 : x
  2. Step 2: Convert to fraction form
    30,190.95/45,245.25 = 11,460.96/x
  3. Step 3: Cross multiply
    30,190.95x = 45,245.25 × 11,460.96
  4. Step 4: Simplify right side
    30,190.95x = 518,554,000.44
  5. Step 5: Solve for x
    x = 518,554,000.44/30,190.95
  6. Step 6: Final answer
    x = 17,175.81

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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.