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Finding the Fourth Proportional to 31,442.41, 43,412.75 and 20,854.09

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Solution

The fourth proportional to 31,442.41, 43,412.75 and 20,854.09 is: 28,793.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,442.41 : 43,412.75 = 20,854.09 : x
  2. Step 2: Convert to fraction form
    31,442.41/43,412.75 = 20,854.09/x
  3. Step 3: Cross multiply
    31,442.41x = 43,412.75 × 20,854.09
  4. Step 4: Simplify right side
    31,442.41x = 905,333,395.65
  5. Step 5: Solve for x
    x = 905,333,395.65/31,442.41
  6. Step 6: Final answer
    x = 28,793.38

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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.