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Finding the Fourth Proportional to 43,630.82, 65,446.22 and 14,051.64

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Solution

The fourth proportional to 43,630.82, 65,446.22 and 14,051.64 is: 21,077.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,630.82 : 65,446.22 = 14,051.64 : x
  2. Step 2: Convert to fraction form
    43,630.82/65,446.22 = 14,051.64/x
  3. Step 3: Cross multiply
    43,630.82x = 65,446.22 × 14,051.64
  4. Step 4: Simplify right side
    43,630.82x = 919,626,722.80
  5. Step 5: Solve for x
    x = 919,626,722.80/43,630.82
  6. Step 6: Final answer
    x = 21,077.46

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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.