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Finding the Fourth Proportional to 43,361.64, 65,051.52 and 24,650.28

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Solution

The fourth proportional to 43,361.64, 65,051.52 and 24,650.28 is: 36,980.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,361.64 : 65,051.52 = 24,650.28 : x
  2. Step 2: Convert to fraction form
    43,361.64/65,051.52 = 24,650.28/x
  3. Step 3: Cross multiply
    43,361.64x = 65,051.52 × 24,650.28
  4. Step 4: Simplify right side
    43,361.64x = 1,603,538,182.43
  5. Step 5: Solve for x
    x = 1,603,538,182.43/43,361.64
  6. Step 6: Final answer
    x = 36,980.57

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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.