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Finding the Fourth Proportional to 131,843.98, 197,764.32 and 32,005

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Solution

The fourth proportional to 131,843.98, 197,764.32 and 32,005 is: 48,007.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,843.98 : 197,764.32 = 32,005 : x
  2. Step 2: Convert to fraction form
    131,843.98/197,764.32 = 32,005/x
  3. Step 3: Cross multiply
    131,843.98x = 197,764.32 × 32,005
  4. Step 4: Simplify right side
    131,843.98x = 6,329,447,061.60
  5. Step 5: Solve for x
    x = 6,329,447,061.60/131,843.98
  6. Step 6: Final answer
    x = 48,007.10

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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.