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Finding the Fourth Proportional to 104,471.72, 156,734.09 and 48,352.24

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Solution

The fourth proportional to 104,471.72, 156,734.09 and 48,352.24 is: 72,540.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,471.72 : 156,734.09 = 48,352.24 : x
  2. Step 2: Convert to fraction form
    104,471.72/156,734.09 = 48,352.24/x
  3. Step 3: Cross multiply
    104,471.72x = 156,734.09 × 48,352.24
  4. Step 4: Simplify right side
    104,471.72x = 7,578,444,471.34
  5. Step 5: Solve for x
    x = 7,578,444,471.34/104,471.72
  6. Step 6: Final answer
    x = 72,540.63

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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.