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Finding the Fourth Proportional to 51,546.25, 71,133.42 and 47,314.40

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Solution

The fourth proportional to 51,546.25, 71,133.42 and 47,314.40 is: 65,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,546.25 : 71,133.42 = 47,314.40 : x
  2. Step 2: Convert to fraction form
    51,546.25/71,133.42 = 47,314.40/x
  3. Step 3: Cross multiply
    51,546.25x = 71,133.42 × 47,314.40
  4. Step 4: Simplify right side
    51,546.25x = 3,365,635,087.25
  5. Step 5: Solve for x
    x = 3,365,635,087.25/51,546.25
  6. Step 6: Final answer
    x = 65,293.50

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