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Finding the Fourth Proportional to 82,000.76, 122,913.52 and 58,556.12

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Solution

The fourth proportional to 82,000.76, 122,913.52 and 58,556.12 is: 87,771.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,000.76 : 122,913.52 = 58,556.12 : x
  2. Step 2: Convert to fraction form
    82,000.76/122,913.52 = 58,556.12/x
  3. Step 3: Cross multiply
    82,000.76x = 122,913.52 × 58,556.12
  4. Step 4: Simplify right side
    82,000.76x = 7,197,338,065.78
  5. Step 5: Solve for x
    x = 7,197,338,065.78/82,000.76
  6. Step 6: Final answer
    x = 87,771.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.