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Finding the Fourth Proportional to 30,157.66, 45,222.11 and 13,517.83

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Solution

The fourth proportional to 30,157.66, 45,222.11 and 13,517.83 is: 20,270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,157.66 : 45,222.11 = 13,517.83 : x
  2. Step 2: Convert to fraction form
    30,157.66/45,222.11 = 13,517.83/x
  3. Step 3: Cross multiply
    30,157.66x = 45,222.11 × 13,517.83
  4. Step 4: Simplify right side
    30,157.66x = 611,304,795.22
  5. Step 5: Solve for x
    x = 611,304,795.22/30,157.66
  6. Step 6: Final answer
    x = 20,270.30

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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.