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Finding the Fourth Proportional to 131,318, 196,977.24 and 32,822

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Solution

The fourth proportional to 131,318, 196,977.24 and 32,822 is: 49,233.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,318 : 196,977.24 = 32,822 : x
  2. Step 2: Convert to fraction form
    131,318/196,977.24 = 32,822/x
  3. Step 3: Cross multiply
    131,318x = 196,977.24 × 32,822
  4. Step 4: Simplify right side
    131,318x = 6,465,186,971.28
  5. Step 5: Solve for x
    x = 6,465,186,971.28/131,318
  6. Step 6: Final answer
    x = 49,233.06

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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.