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Finding the Fourth Proportional to 130,624, 195,936.96 and 32,128

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Solution

The fourth proportional to 130,624, 195,936.96 and 32,128 is: 48,192.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,624 : 195,936.96 = 32,128 : x
  2. Step 2: Convert to fraction form
    130,624/195,936.96 = 32,128/x
  3. Step 3: Cross multiply
    130,624x = 195,936.96 × 32,128
  4. Step 4: Simplify right side
    130,624x = 6,295,062,650.88
  5. Step 5: Solve for x
    x = 6,295,062,650.88/130,624
  6. Step 6: Final answer
    x = 48,192.24

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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.