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Finding the Fourth Proportional to 71,576.88, 98,785.20 and 43,282.77

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Solution

The fourth proportional to 71,576.88, 98,785.20 and 43,282.77 is: 59,735.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,576.88 : 98,785.20 = 43,282.77 : x
  2. Step 2: Convert to fraction form
    71,576.88/98,785.20 = 43,282.77/x
  3. Step 3: Cross multiply
    71,576.88x = 98,785.20 × 43,282.77
  4. Step 4: Simplify right side
    71,576.88x = 4,275,697,091.00
  5. Step 5: Solve for x
    x = 4,275,697,091.00/71,576.88
  6. Step 6: Final answer
    x = 59,735.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.