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Finding the Fourth Proportional to 50,922.56, 76,301.76 and 27,560

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Solution

The fourth proportional to 50,922.56, 76,301.76 and 27,560 is: 41,295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,922.56 : 76,301.76 = 27,560 : x
  2. Step 2: Convert to fraction form
    50,922.56/76,301.76 = 27,560/x
  3. Step 3: Cross multiply
    50,922.56x = 76,301.76 × 27,560
  4. Step 4: Simplify right side
    50,922.56x = 2,102,876,505.60
  5. Step 5: Solve for x
    x = 2,102,876,505.60/50,922.56
  6. Step 6: Final answer
    x = 41,295.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.