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Finding the Fourth Proportional to 55,697.28, 76,859 and 30,546.78

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Solution

The fourth proportional to 55,697.28, 76,859 and 30,546.78 is: 42,152.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,697.28 : 76,859 = 30,546.78 : x
  2. Step 2: Convert to fraction form
    55,697.28/76,859 = 30,546.78/x
  3. Step 3: Cross multiply
    55,697.28x = 76,859 × 30,546.78
  4. Step 4: Simplify right side
    55,697.28x = 2,347,794,964.02
  5. Step 5: Solve for x
    x = 2,347,794,964.02/55,697.28
  6. Step 6: Final answer
    x = 42,152.78

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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.