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Finding the Fourth Proportional to 172,948.50, 259,461.09 and 53,022.06

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Solution

The fourth proportional to 172,948.50, 259,461.09 and 53,022.06 is: 79,544.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,948.50 : 259,461.09 = 53,022.06 : x
  2. Step 2: Convert to fraction form
    172,948.50/259,461.09 = 53,022.06/x
  3. Step 3: Cross multiply
    172,948.50x = 259,461.09 × 53,022.06
  4. Step 4: Simplify right side
    172,948.50x = 13,757,161,481.65
  5. Step 5: Solve for x
    x = 13,757,161,481.65/172,948.50
  6. Step 6: Final answer
    x = 79,544.84

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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.