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Finding the Fourth Proportional to 30,074.16, 45,111.24 and 9,016.42

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Solution

The fourth proportional to 30,074.16, 45,111.24 and 9,016.42 is: 13,524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,074.16 : 45,111.24 = 9,016.42 : x
  2. Step 2: Convert to fraction form
    30,074.16/45,111.24 = 9,016.42/x
  3. Step 3: Cross multiply
    30,074.16x = 45,111.24 × 9,016.42
  4. Step 4: Simplify right side
    30,074.16x = 406,741,886.56
  5. Step 5: Solve for x
    x = 406,741,886.56/30,074.16
  6. Step 6: Final answer
    x = 13,524.63

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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.