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Finding the Fourth Proportional to 57,241.98, 85,887.69 and 30,965.22

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Solution

The fourth proportional to 57,241.98, 85,887.69 and 30,965.22 is: 46,461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,241.98 : 85,887.69 = 30,965.22 : x
  2. Step 2: Convert to fraction form
    57,241.98/85,887.69 = 30,965.22/x
  3. Step 3: Cross multiply
    57,241.98x = 85,887.69 × 30,965.22
  4. Step 4: Simplify right side
    57,241.98x = 2,659,531,216.14
  5. Step 5: Solve for x
    x = 2,659,531,216.14/57,241.98
  6. Step 6: Final answer
    x = 46,461.20

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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.