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Finding the Fourth Proportional to 43,468.65, 65,216.97 and 19,784.67

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Solution

The fourth proportional to 43,468.65, 65,216.97 and 19,784.67 is: 29,683.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,468.65 : 65,216.97 = 19,784.67 : x
  2. Step 2: Convert to fraction form
    43,468.65/65,216.97 = 19,784.67/x
  3. Step 3: Cross multiply
    43,468.65x = 65,216.97 × 19,784.67
  4. Step 4: Simplify right side
    43,468.65x = 1,290,296,229.85
  5. Step 5: Solve for x
    x = 1,290,296,229.85/43,468.65
  6. Step 6: Final answer
    x = 29,683.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.