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Finding the Fourth Proportional to 29,485.31, 44,219.75 and 9,765.41

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Solution

The fourth proportional to 29,485.31, 44,219.75 and 9,765.41 is: 14,645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,485.31 : 44,219.75 = 9,765.41 : x
  2. Step 2: Convert to fraction form
    29,485.31/44,219.75 = 9,765.41/x
  3. Step 3: Cross multiply
    29,485.31x = 44,219.75 × 9,765.41
  4. Step 4: Simplify right side
    29,485.31x = 431,823,988.85
  5. Step 5: Solve for x
    x = 431,823,988.85/29,485.31
  6. Step 6: Final answer
    x = 14,645.39

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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.