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Finding the Fourth Proportional to 43,884.40, 65,814.04 and 14,304.82

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Solution

The fourth proportional to 43,884.40, 65,814.04 and 14,304.82 is: 21,453.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,884.40 : 65,814.04 = 14,304.82 : x
  2. Step 2: Convert to fraction form
    43,884.40/65,814.04 = 14,304.82/x
  3. Step 3: Cross multiply
    43,884.40x = 65,814.04 × 14,304.82
  4. Step 4: Simplify right side
    43,884.40x = 941,458,124.45
  5. Step 5: Solve for x
    x = 941,458,124.45/43,884.40
  6. Step 6: Final answer
    x = 21,453.14

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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.