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Finding the Fourth Proportional to 73,176.75, 109,765.22 and 20,586.29

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Solution

The fourth proportional to 73,176.75, 109,765.22 and 20,586.29 is: 30,879.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,176.75 : 109,765.22 = 20,586.29 : x
  2. Step 2: Convert to fraction form
    73,176.75/109,765.22 = 20,586.29/x
  3. Step 3: Cross multiply
    73,176.75x = 109,765.22 × 20,586.29
  4. Step 4: Simplify right side
    73,176.75x = 2,259,657,999.08
  5. Step 5: Solve for x
    x = 2,259,657,999.08/73,176.75
  6. Step 6: Final answer
    x = 30,879.45

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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.