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Finding the Fourth Proportional to 30,145.96, 45,212.78 and 11,419.54

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Solution

The fourth proportional to 30,145.96, 45,212.78 and 11,419.54 is: 17,126.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,145.96 : 45,212.78 = 11,419.54 : x
  2. Step 2: Convert to fraction form
    30,145.96/45,212.78 = 11,419.54/x
  3. Step 3: Cross multiply
    30,145.96x = 45,212.78 × 11,419.54
  4. Step 4: Simplify right side
    30,145.96x = 516,308,866.56
  5. Step 5: Solve for x
    x = 516,308,866.56/30,145.96
  6. Step 6: Final answer
    x = 17,126.97

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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.