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Finding the Fourth Proportional to 31,465.89, 43,414.25 and 21,895.04

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Solution

The fourth proportional to 31,465.89, 43,414.25 and 21,895.04 is: 30,209.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,465.89 : 43,414.25 = 21,895.04 : x
  2. Step 2: Convert to fraction form
    31,465.89/43,414.25 = 21,895.04/x
  3. Step 3: Cross multiply
    31,465.89x = 43,414.25 × 21,895.04
  4. Step 4: Simplify right side
    31,465.89x = 950,556,739.38
  5. Step 5: Solve for x
    x = 950,556,739.38/31,465.89
  6. Step 6: Final answer
    x = 30,209.12

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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.