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Finding the Fourth Proportional to 31,119.69, 46,698.67 and 16,339.22

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Solution

The fourth proportional to 31,119.69, 46,698.67 and 16,339.22 is: 24,518.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,119.69 : 46,698.67 = 16,339.22 : x
  2. Step 2: Convert to fraction form
    31,119.69/46,698.67 = 16,339.22/x
  3. Step 3: Cross multiply
    31,119.69x = 46,698.67 × 16,339.22
  4. Step 4: Simplify right side
    31,119.69x = 763,019,609.34
  5. Step 5: Solve for x
    x = 763,019,609.34/31,119.69
  6. Step 6: Final answer
    x = 24,518.87

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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.