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Finding the Fourth Proportional to 31,231.50, 46,843.80 and 7,857.93

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Solution

The fourth proportional to 31,231.50, 46,843.80 and 7,857.93 is: 11,786.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,231.50 : 46,843.80 = 7,857.93 : x
  2. Step 2: Convert to fraction form
    31,231.50/46,843.80 = 7,857.93/x
  3. Step 3: Cross multiply
    31,231.50x = 46,843.80 × 7,857.93
  4. Step 4: Simplify right side
    31,231.50x = 368,095,301.33
  5. Step 5: Solve for x
    x = 368,095,301.33/31,231.50
  6. Step 6: Final answer
    x = 11,786.03

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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.