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Finding the Fourth Proportional to 172,416.56, 258,642.84 and 47,757.56

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Solution

The fourth proportional to 172,416.56, 258,642.84 and 47,757.56 is: 71,641.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,416.56 : 258,642.84 = 47,757.56 : x
  2. Step 2: Convert to fraction form
    172,416.56/258,642.84 = 47,757.56/x
  3. Step 3: Cross multiply
    172,416.56x = 258,642.84 × 47,757.56
  4. Step 4: Simplify right side
    172,416.56x = 12,352,150,949.87
  5. Step 5: Solve for x
    x = 12,352,150,949.87/172,416.56
  6. Step 6: Final answer
    x = 71,641.33

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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.