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Finding the Fourth Proportional to 131,006, 196,509 and 32,510

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Solution

The fourth proportional to 131,006, 196,509 and 32,510 is: 48,765

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,006 : 196,509 = 32,510 : x
  2. Step 2: Convert to fraction form
    131,006/196,509 = 32,510/x
  3. Step 3: Cross multiply
    131,006x = 196,509 × 32,510
  4. Step 4: Simplify right side
    131,006x = 6,388,507,590
  5. Step 5: Solve for x
    x = 6,388,507,590/131,006
  6. Step 6: Final answer
    x = 48,765

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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.