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Finding the Fourth Proportional to 31,775.94, 43,857.18 and 18,349.38

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Solution

The fourth proportional to 31,775.94, 43,857.18 and 18,349.38 is: 25,325.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,775.94 : 43,857.18 = 18,349.38 : x
  2. Step 2: Convert to fraction form
    31,775.94/43,857.18 = 18,349.38/x
  3. Step 3: Cross multiply
    31,775.94x = 43,857.18 × 18,349.38
  4. Step 4: Simplify right side
    31,775.94x = 804,752,061.55
  5. Step 5: Solve for x
    x = 804,752,061.55/31,775.94
  6. Step 6: Final answer
    x = 25,325.83

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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.