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Finding the Fourth Proportional to 55,704.14, 83,419.91 and 50,306.67

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Solution

The fourth proportional to 55,704.14, 83,419.91 and 50,306.67 is: 75,336.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,704.14 : 83,419.91 = 50,306.67 : x
  2. Step 2: Convert to fraction form
    55,704.14/83,419.91 = 50,306.67/x
  3. Step 3: Cross multiply
    55,704.14x = 83,419.91 × 50,306.67
  4. Step 4: Simplify right side
    55,704.14x = 4,196,577,820.92
  5. Step 5: Solve for x
    x = 4,196,577,820.92/55,704.14
  6. Step 6: Final answer
    x = 75,336.91

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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.