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Finding the Fourth Proportional to 172,416.48, 258,624.72 and 47,757.52

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Solution

The fourth proportional to 172,416.48, 258,624.72 and 47,757.52 is: 71,636.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,416.48 : 258,624.72 = 47,757.52 : x
  2. Step 2: Convert to fraction form
    172,416.48/258,624.72 = 47,757.52/x
  3. Step 3: Cross multiply
    172,416.48x = 258,624.72 × 47,757.52
  4. Step 4: Simplify right side
    172,416.48x = 12,351,275,237.89
  5. Step 5: Solve for x
    x = 12,351,275,237.89/172,416.48
  6. Step 6: Final answer
    x = 71,636.28

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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.