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Finding the Fourth Proportional to 57,241.68, 78,994.17 and 31,748.55

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Solution

The fourth proportional to 57,241.68, 78,994.17 and 31,748.55 is: 43,813.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,241.68 : 78,994.17 = 31,748.55 : x
  2. Step 2: Convert to fraction form
    57,241.68/78,994.17 = 31,748.55/x
  3. Step 3: Cross multiply
    57,241.68x = 78,994.17 × 31,748.55
  4. Step 4: Simplify right side
    57,241.68x = 2,507,950,355.95
  5. Step 5: Solve for x
    x = 2,507,950,355.95/57,241.68
  6. Step 6: Final answer
    x = 43,813.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.