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Finding the Fourth Proportional to 75,740, 104,481.44 and 57,803.76

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Solution

The fourth proportional to 75,740, 104,481.44 and 57,803.76 is: 79,738.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,740 : 104,481.44 = 57,803.76 : x
  2. Step 2: Convert to fraction form
    75,740/104,481.44 = 57,803.76/x
  3. Step 3: Cross multiply
    75,740x = 104,481.44 × 57,803.76
  4. Step 4: Simplify right side
    75,740x = 6,039,420,082.21
  5. Step 5: Solve for x
    x = 6,039,420,082.21/75,740
  6. Step 6: Final answer
    x = 79,738.84

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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.