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Finding the Fourth Proportional to 43,361.11, 65,046 and 11,771.68

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Solution

The fourth proportional to 43,361.11, 65,046 and 11,771.68 is: 17,658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,361.11 : 65,046 = 11,771.68 : x
  2. Step 2: Convert to fraction form
    43,361.11/65,046 = 11,771.68/x
  3. Step 3: Cross multiply
    43,361.11x = 65,046 × 11,771.68
  4. Step 4: Simplify right side
    43,361.11x = 765,700,697.28
  5. Step 5: Solve for x
    x = 765,700,697.28/43,361.11
  6. Step 6: Final answer
    x = 17,658.70

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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.