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Finding the Fourth Proportional to 100,650.69, 150,938.67 and 29,553.75

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Solution

The fourth proportional to 100,650.69, 150,938.67 and 29,553.75 is: 44,319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,650.69 : 150,938.67 = 29,553.75 : x
  2. Step 2: Convert to fraction form
    100,650.69/150,938.67 = 29,553.75/x
  3. Step 3: Cross multiply
    100,650.69x = 150,938.67 × 29,553.75
  4. Step 4: Simplify right side
    100,650.69x = 4,460,803,829.34
  5. Step 5: Solve for x
    x = 4,460,803,829.34/100,650.69
  6. Step 6: Final answer
    x = 44,319.65

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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.