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Finding the Fourth Proportional to 131,575.69, 197,361.82 and 31,735.14

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Solution

The fourth proportional to 131,575.69, 197,361.82 and 31,735.14 is: 47,602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,575.69 : 197,361.82 = 31,735.14 : x
  2. Step 2: Convert to fraction form
    131,575.69/197,361.82 = 31,735.14/x
  3. Step 3: Cross multiply
    131,575.69x = 197,361.82 × 31,735.14
  4. Step 4: Simplify right side
    131,575.69x = 6,263,305,219.57
  5. Step 5: Solve for x
    x = 6,263,305,219.57/131,575.69
  6. Step 6: Final answer
    x = 47,602.30

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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.