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Finding the Fourth Proportional to 43,850.44, 65,776.47 and 14,268.16

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Solution

The fourth proportional to 43,850.44, 65,776.47 and 14,268.16 is: 21,402.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,850.44 : 65,776.47 = 14,268.16 : x
  2. Step 2: Convert to fraction form
    43,850.44/65,776.47 = 14,268.16/x
  3. Step 3: Cross multiply
    43,850.44x = 65,776.47 × 14,268.16
  4. Step 4: Simplify right side
    43,850.44x = 938,509,198.20
  5. Step 5: Solve for x
    x = 938,509,198.20/43,850.44
  6. Step 6: Final answer
    x = 21,402.50

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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.