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Finding the Fourth Proportional to 30,076.03, 45,121.73 and 9,016

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Solution

The fourth proportional to 30,076.03, 45,121.73 and 9,016 is: 13,526.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,076.03 : 45,121.73 = 9,016 : x
  2. Step 2: Convert to fraction form
    30,076.03/45,121.73 = 9,016/x
  3. Step 3: Cross multiply
    30,076.03x = 45,121.73 × 9,016
  4. Step 4: Simplify right side
    30,076.03x = 406,817,517.68
  5. Step 5: Solve for x
    x = 406,817,517.68/30,076.03
  6. Step 6: Final answer
    x = 13,526.30

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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.