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Finding the Fourth Proportional to 130,918, 196,377 and 32,422

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Solution

The fourth proportional to 130,918, 196,377 and 32,422 is: 48,633

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,918 : 196,377 = 32,422 : x
  2. Step 2: Convert to fraction form
    130,918/196,377 = 32,422/x
  3. Step 3: Cross multiply
    130,918x = 196,377 × 32,422
  4. Step 4: Simplify right side
    130,918x = 6,366,935,094
  5. Step 5: Solve for x
    x = 6,366,935,094/130,918
  6. Step 6: Final answer
    x = 48,633

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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.