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Finding the Fourth Proportional to 82,400.69, 123,601.04 and 29,797.88

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Solution

The fourth proportional to 82,400.69, 123,601.04 and 29,797.88 is: 44,696.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,400.69 : 123,601.04 = 29,797.88 : x
  2. Step 2: Convert to fraction form
    82,400.69/123,601.04 = 29,797.88/x
  3. Step 3: Cross multiply
    82,400.69x = 123,601.04 × 29,797.88
  4. Step 4: Simplify right side
    82,400.69x = 3,683,048,302.54
  5. Step 5: Solve for x
    x = 3,683,048,302.54/82,400.69
  6. Step 6: Final answer
    x = 44,696.81

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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.