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Finding the Fourth Proportional to 53,971.56, 80,414.70 and 50,953.50

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Solution

The fourth proportional to 53,971.56, 80,414.70 and 50,953.50 is: 75,917.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,971.56 : 80,414.70 = 50,953.50 : x
  2. Step 2: Convert to fraction form
    53,971.56/80,414.70 = 50,953.50/x
  3. Step 3: Cross multiply
    53,971.56x = 80,414.70 × 50,953.50
  4. Step 4: Simplify right side
    53,971.56x = 4,097,410,416.45
  5. Step 5: Solve for x
    x = 4,097,410,416.45/53,971.56
  6. Step 6: Final answer
    x = 75,917.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.