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Finding the Fourth Proportional to 31,485.80, 43,427.94 and 20,297

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Solution

The fourth proportional to 31,485.80, 43,427.94 and 20,297 is: 27,995.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,485.80 : 43,427.94 = 20,297 : x
  2. Step 2: Convert to fraction form
    31,485.80/43,427.94 = 20,297/x
  3. Step 3: Cross multiply
    31,485.80x = 43,427.94 × 20,297
  4. Step 4: Simplify right side
    31,485.80x = 881,456,898.18
  5. Step 5: Solve for x
    x = 881,456,898.18/31,485.80
  6. Step 6: Final answer
    x = 27,995.38

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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.