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Finding the Fourth Proportional to 34,050.81, 51,065.21 and 12,409.19

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Solution

The fourth proportional to 34,050.81, 51,065.21 and 12,409.19 is: 18,609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,050.81 : 51,065.21 = 12,409.19 : x
  2. Step 2: Convert to fraction form
    34,050.81/51,065.21 = 12,409.19/x
  3. Step 3: Cross multiply
    34,050.81x = 51,065.21 × 12,409.19
  4. Step 4: Simplify right side
    34,050.81x = 633,677,860.47
  5. Step 5: Solve for x
    x = 633,677,860.47/34,050.81
  6. Step 6: Final answer
    x = 18,609.78

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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.