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Finding the Fourth Proportional to 31,974.80, 44,706.40 and 31,974.80

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Solution

The fourth proportional to 31,974.80, 44,706.40 and 31,974.80 is: 44,706.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,974.80 : 44,706.40 = 31,974.80 : x
  2. Step 2: Convert to fraction form
    31,974.80/44,706.40 = 31,974.80/x
  3. Step 3: Cross multiply
    31,974.80x = 44,706.40 × 31,974.80
  4. Step 4: Simplify right side
    31,974.80x = 1,429,478,198.72
  5. Step 5: Solve for x
    x = 1,429,478,198.72/31,974.80
  6. Step 6: Final answer
    x = 44,706.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.