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Finding the Fourth Proportional to 100,026, 150,040.44 and 26,154

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Solution

The fourth proportional to 100,026, 150,040.44 and 26,154 is: 39,231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,026 : 150,040.44 = 26,154 : x
  2. Step 2: Convert to fraction form
    100,026/150,040.44 = 26,154/x
  3. Step 3: Cross multiply
    100,026x = 150,040.44 × 26,154
  4. Step 4: Simplify right side
    100,026x = 3,924,157,667.76
  5. Step 5: Solve for x
    x = 3,924,157,667.76/100,026
  6. Step 6: Final answer
    x = 39,231.38

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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.