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Finding the Fourth Proportional to 82,055.99, 123,084 and 25,900.49

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Solution

The fourth proportional to 82,055.99, 123,084 and 25,900.49 is: 38,850.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,055.99 : 123,084 = 25,900.49 : x
  2. Step 2: Convert to fraction form
    82,055.99/123,084 = 25,900.49/x
  3. Step 3: Cross multiply
    82,055.99x = 123,084 × 25,900.49
  4. Step 4: Simplify right side
    82,055.99x = 3,187,936,218.87
  5. Step 5: Solve for x
    x = 3,187,936,218.87/82,055.99
  6. Step 6: Final answer
    x = 38,850.74

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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.