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Finding the Fourth Proportional to 43,640.24, 65,466.63 and 14,048.24

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Solution

The fourth proportional to 43,640.24, 65,466.63 and 14,048.24 is: 21,074.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,640.24 : 65,466.63 = 14,048.24 : x
  2. Step 2: Convert to fraction form
    43,640.24/65,466.63 = 14,048.24/x
  3. Step 3: Cross multiply
    43,640.24x = 65,466.63 × 14,048.24
  4. Step 4: Simplify right side
    43,640.24x = 919,690,602.90
  5. Step 5: Solve for x
    x = 919,690,602.90/43,640.24
  6. Step 6: Final answer
    x = 21,074.37

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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.