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Finding the Fourth Proportional to 172,500.75, 258,751.13 and 47,841.75

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Solution

The fourth proportional to 172,500.75, 258,751.13 and 47,841.75 is: 71,762.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,500.75 : 258,751.13 = 47,841.75 : x
  2. Step 2: Convert to fraction form
    172,500.75/258,751.13 = 47,841.75/x
  3. Step 3: Cross multiply
    172,500.75x = 258,751.13 × 47,841.75
  4. Step 4: Simplify right side
    172,500.75x = 12,379,106,634.47
  5. Step 5: Solve for x
    x = 12,379,106,634.47/172,500.75
  6. Step 6: Final answer
    x = 71,762.63

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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.