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Finding the Fourth Proportional to 43,884.54, 65,833.62 and 14,295.48

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Solution

The fourth proportional to 43,884.54, 65,833.62 and 14,295.48 is: 21,445.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,884.54 : 65,833.62 = 14,295.48 : x
  2. Step 2: Convert to fraction form
    43,884.54/65,833.62 = 14,295.48/x
  3. Step 3: Cross multiply
    43,884.54x = 65,833.62 × 14,295.48
  4. Step 4: Simplify right side
    43,884.54x = 941,123,198.04
  5. Step 5: Solve for x
    x = 941,123,198.04/43,884.54
  6. Step 6: Final answer
    x = 21,445.44

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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.