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Finding the Fourth Proportional to 100,023, 150,035.94 and 26,151

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Solution

The fourth proportional to 100,023, 150,035.94 and 26,151 is: 39,226.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,023 : 150,035.94 = 26,151 : x
  2. Step 2: Convert to fraction form
    100,023/150,035.94 = 26,151/x
  3. Step 3: Cross multiply
    100,023x = 150,035.94 × 26,151
  4. Step 4: Simplify right side
    100,023x = 3,923,589,866.94
  5. Step 5: Solve for x
    x = 3,923,589,866.94/100,023
  6. Step 6: Final answer
    x = 39,226.88

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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.