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Finding the Fourth Proportional to 53,427.60, 73,716.84 and 34,542

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Solution

The fourth proportional to 53,427.60, 73,716.84 and 34,542 is: 47,659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,427.60 : 73,716.84 = 34,542 : x
  2. Step 2: Convert to fraction form
    53,427.60/73,716.84 = 34,542/x
  3. Step 3: Cross multiply
    53,427.60x = 73,716.84 × 34,542
  4. Step 4: Simplify right side
    53,427.60x = 2,546,327,087.28
  5. Step 5: Solve for x
    x = 2,546,327,087.28/53,427.60
  6. Step 6: Final answer
    x = 47,659.39

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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.