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Finding the Fourth Proportional to 43,791.64, 65,677.74 and 12,629.32

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Solution

The fourth proportional to 43,791.64, 65,677.74 and 12,629.32 is: 18,941.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,791.64 : 65,677.74 = 12,629.32 : x
  2. Step 2: Convert to fraction form
    43,791.64/65,677.74 = 12,629.32/x
  3. Step 3: Cross multiply
    43,791.64x = 65,677.74 × 12,629.32
  4. Step 4: Simplify right side
    43,791.64x = 829,465,195.34
  5. Step 5: Solve for x
    x = 829,465,195.34/43,791.64
  6. Step 6: Final answer
    x = 18,941.18

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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.