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Finding the Fourth Proportional to 51,883.54, 71,571 and 45,157.30

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Solution

The fourth proportional to 51,883.54, 71,571 and 45,157.30 is: 62,292.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,883.54 : 71,571 = 45,157.30 : x
  2. Step 2: Convert to fraction form
    51,883.54/71,571 = 45,157.30/x
  3. Step 3: Cross multiply
    51,883.54x = 71,571 × 45,157.30
  4. Step 4: Simplify right side
    51,883.54x = 3,231,953,118.30
  5. Step 5: Solve for x
    x = 3,231,953,118.30/51,883.54
  6. Step 6: Final answer
    x = 62,292.46

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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.