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Finding the Fourth Proportional to 131,078, 196,617.72 and 32,582

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Solution

The fourth proportional to 131,078, 196,617.72 and 32,582 is: 48,873.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,078 : 196,617.72 = 32,582 : x
  2. Step 2: Convert to fraction form
    131,078/196,617.72 = 32,582/x
  3. Step 3: Cross multiply
    131,078x = 196,617.72 × 32,582
  4. Step 4: Simplify right side
    131,078x = 6,406,198,553.04
  5. Step 5: Solve for x
    x = 6,406,198,553.04/131,078
  6. Step 6: Final answer
    x = 48,873.18

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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.