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Finding the Fourth Proportional to 131,781.50, 197,670.48 and 31,942.56

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Solution

The fourth proportional to 131,781.50, 197,670.48 and 31,942.56 is: 47,913.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,781.50 : 197,670.48 = 31,942.56 : x
  2. Step 2: Convert to fraction form
    131,781.50/197,670.48 = 31,942.56/x
  3. Step 3: Cross multiply
    131,781.50x = 197,670.48 × 31,942.56
  4. Step 4: Simplify right side
    131,781.50x = 6,314,101,167.63
  5. Step 5: Solve for x
    x = 6,314,101,167.63/131,781.50
  6. Step 6: Final answer
    x = 47,913.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.