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Finding the Fourth Proportional to 55,177.92, 76,146 and 31,304.64

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Solution

The fourth proportional to 55,177.92, 76,146 and 31,304.64 is: 43,200.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,177.92 : 76,146 = 31,304.64 : x
  2. Step 2: Convert to fraction form
    55,177.92/76,146 = 31,304.64/x
  3. Step 3: Cross multiply
    55,177.92x = 76,146 × 31,304.64
  4. Step 4: Simplify right side
    55,177.92x = 2,383,723,117.44
  5. Step 5: Solve for x
    x = 2,383,723,117.44/55,177.92
  6. Step 6: Final answer
    x = 43,200.67

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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.