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Finding the Fourth Proportional to 130,900, 196,350 and 32,404

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Solution

The fourth proportional to 130,900, 196,350 and 32,404 is: 48,606

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,900 : 196,350 = 32,404 : x
  2. Step 2: Convert to fraction form
    130,900/196,350 = 32,404/x
  3. Step 3: Cross multiply
    130,900x = 196,350 × 32,404
  4. Step 4: Simplify right side
    130,900x = 6,362,525,400
  5. Step 5: Solve for x
    x = 6,362,525,400/130,900
  6. Step 6: Final answer
    x = 48,606

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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.