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Finding the Fourth Proportional to 31,121.40, 46,682.10 and 27,233.40

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Solution

The fourth proportional to 31,121.40, 46,682.10 and 27,233.40 is: 40,850.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,121.40 : 46,682.10 = 27,233.40 : x
  2. Step 2: Convert to fraction form
    31,121.40/46,682.10 = 27,233.40/x
  3. Step 3: Cross multiply
    31,121.40x = 46,682.10 × 27,233.40
  4. Step 4: Simplify right side
    31,121.40x = 1,271,312,302.14
  5. Step 5: Solve for x
    x = 1,271,312,302.14/31,121.40
  6. Step 6: Final answer
    x = 40,850.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.