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Finding the Fourth Proportional to 131,004, 196,506 and 32,508

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Solution

The fourth proportional to 131,004, 196,506 and 32,508 is: 48,762

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,004 : 196,506 = 32,508 : x
  2. Step 2: Convert to fraction form
    131,004/196,506 = 32,508/x
  3. Step 3: Cross multiply
    131,004x = 196,506 × 32,508
  4. Step 4: Simplify right side
    131,004x = 6,388,017,048
  5. Step 5: Solve for x
    x = 6,388,017,048/131,004
  6. Step 6: Final answer
    x = 48,762

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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.