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Finding the Fourth Proportional to 31,838.85, 43,893.70 and 25,400.34

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Solution

The fourth proportional to 31,838.85, 43,893.70 and 25,400.34 is: 35,017.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,838.85 : 43,893.70 = 25,400.34 : x
  2. Step 2: Convert to fraction form
    31,838.85/43,893.70 = 25,400.34/x
  3. Step 3: Cross multiply
    31,838.85x = 43,893.70 × 25,400.34
  4. Step 4: Simplify right side
    31,838.85x = 1,114,914,840.36
  5. Step 5: Solve for x
    x = 1,114,914,840.36/31,838.85
  6. Step 6: Final answer
    x = 35,017.43

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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.