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Finding the Fourth Proportional to 43,751.64, 65,633.90 and 14,159.64

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Solution

The fourth proportional to 43,751.64, 65,633.90 and 14,159.64 is: 21,241.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,751.64 : 65,633.90 = 14,159.64 : x
  2. Step 2: Convert to fraction form
    43,751.64/65,633.90 = 14,159.64/x
  3. Step 3: Cross multiply
    43,751.64x = 65,633.90 × 14,159.64
  4. Step 4: Simplify right side
    43,751.64x = 929,352,395.80
  5. Step 5: Solve for x
    x = 929,352,395.80/43,751.64
  6. Step 6: Final answer
    x = 21,241.54

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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.