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Finding the Fourth Proportional to 100,762.72, 151,105.84 and 29,665.80

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Solution

The fourth proportional to 100,762.72, 151,105.84 and 29,665.80 is: 44,487.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,762.72 : 151,105.84 = 29,665.80 : x
  2. Step 2: Convert to fraction form
    100,762.72/151,105.84 = 29,665.80/x
  3. Step 3: Cross multiply
    100,762.72x = 151,105.84 × 29,665.80
  4. Step 4: Simplify right side
    100,762.72x = 4,482,675,628.27
  5. Step 5: Solve for x
    x = 4,482,675,628.27/100,762.72
  6. Step 6: Final answer
    x = 44,487.44

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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.