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Finding the Fourth Proportional to 131,172, 196,758.72 and 32,676

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Solution

The fourth proportional to 131,172, 196,758.72 and 32,676 is: 49,014.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,172 : 196,758.72 = 32,676 : x
  2. Step 2: Convert to fraction form
    131,172/196,758.72 = 32,676/x
  3. Step 3: Cross multiply
    131,172x = 196,758.72 × 32,676
  4. Step 4: Simplify right side
    131,172x = 6,429,287,934.72
  5. Step 5: Solve for x
    x = 6,429,287,934.72/131,172
  6. Step 6: Final answer
    x = 49,014.18

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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.