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Finding the Fourth Proportional to 31,679.61, 43,678.13 and 20,329.08

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Solution

The fourth proportional to 31,679.61, 43,678.13 and 20,329.08 is: 28,028.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,679.61 : 43,678.13 = 20,329.08 : x
  2. Step 2: Convert to fraction form
    31,679.61/43,678.13 = 20,329.08/x
  3. Step 3: Cross multiply
    31,679.61x = 43,678.13 × 20,329.08
  4. Step 4: Simplify right side
    31,679.61x = 887,936,097.38
  5. Step 5: Solve for x
    x = 887,936,097.38/31,679.61
  6. Step 6: Final answer
    x = 28,028.63

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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.