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Finding the Fourth Proportional to 100,586.67, 150,908.27 and 29,511

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Solution

The fourth proportional to 100,586.67, 150,908.27 and 29,511 is: 44,274.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,586.67 : 150,908.27 = 29,511 : x
  2. Step 2: Convert to fraction form
    100,586.67/150,908.27 = 29,511/x
  3. Step 3: Cross multiply
    100,586.67x = 150,908.27 × 29,511
  4. Step 4: Simplify right side
    100,586.67x = 4,453,453,808.42
  5. Step 5: Solve for x
    x = 4,453,453,808.42/100,586.67
  6. Step 6: Final answer
    x = 44,274.79

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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.