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Finding the Fourth Proportional to 47,179.72, 65,080.96 and 29,485

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Solution

The fourth proportional to 47,179.72, 65,080.96 and 29,485 is: 40,672.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,179.72 : 65,080.96 = 29,485 : x
  2. Step 2: Convert to fraction form
    47,179.72/65,080.96 = 29,485/x
  3. Step 3: Cross multiply
    47,179.72x = 65,080.96 × 29,485
  4. Step 4: Simplify right side
    47,179.72x = 1,918,912,105.60
  5. Step 5: Solve for x
    x = 1,918,912,105.60/47,179.72
  6. Step 6: Final answer
    x = 40,672.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.