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Finding the Fourth Proportional to 30,290.23, 45,437.09 and 9,230.96

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Solution

The fourth proportional to 30,290.23, 45,437.09 and 9,230.96 is: 13,846.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,290.23 : 45,437.09 = 9,230.96 : x
  2. Step 2: Convert to fraction form
    30,290.23/45,437.09 = 9,230.96/x
  3. Step 3: Cross multiply
    30,290.23x = 45,437.09 × 9,230.96
  4. Step 4: Simplify right side
    30,290.23x = 419,428,066.69
  5. Step 5: Solve for x
    x = 419,428,066.69/30,290.23
  6. Step 6: Final answer
    x = 13,846.97

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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.