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Finding the Fourth Proportional to 54,811.69, 75,640.13 and 29,661.19

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Solution

The fourth proportional to 54,811.69, 75,640.13 and 29,661.19 is: 40,932.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,811.69 : 75,640.13 = 29,661.19 : x
  2. Step 2: Convert to fraction form
    54,811.69/75,640.13 = 29,661.19/x
  3. Step 3: Cross multiply
    54,811.69x = 75,640.13 × 29,661.19
  4. Step 4: Simplify right side
    54,811.69x = 2,243,576,041.38
  5. Step 5: Solve for x
    x = 2,243,576,041.38/54,811.69
  6. Step 6: Final answer
    x = 40,932.44

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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.