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Finding the Fourth Proportional to 96,103.70, 144,155.21 and 25,983

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Solution

The fourth proportional to 96,103.70, 144,155.21 and 25,983 is: 38,974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,103.70 : 144,155.21 = 25,983 : x
  2. Step 2: Convert to fraction form
    96,103.70/144,155.21 = 25,983/x
  3. Step 3: Cross multiply
    96,103.70x = 144,155.21 × 25,983
  4. Step 4: Simplify right side
    96,103.70x = 3,745,584,821.43
  5. Step 5: Solve for x
    x = 3,745,584,821.43/96,103.70
  6. Step 6: Final answer
    x = 38,974.41

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1.5x scale

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.