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Finding the Fourth Proportional to 89,007, 122,829.66 and 49,263

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Solution

The fourth proportional to 89,007, 122,829.66 and 49,263 is: 67,982.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,007 : 122,829.66 = 49,263 : x
  2. Step 2: Convert to fraction form
    89,007/122,829.66 = 49,263/x
  3. Step 3: Cross multiply
    89,007x = 122,829.66 × 49,263
  4. Step 4: Simplify right side
    89,007x = 6,050,957,540.58
  5. Step 5: Solve for x
    x = 6,050,957,540.58/89,007
  6. Step 6: Final answer
    x = 67,982.94

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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.