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Finding the Fourth Proportional to 115,299, 172,974.06 and 35,348.04

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Solution

The fourth proportional to 115,299, 172,974.06 and 35,348.04 is: 53,029.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,299 : 172,974.06 = 35,348.04 : x
  2. Step 2: Convert to fraction form
    115,299/172,974.06 = 35,348.04/x
  3. Step 3: Cross multiply
    115,299x = 172,974.06 × 35,348.04
  4. Step 4: Simplify right side
    115,299x = 6,114,293,991.84
  5. Step 5: Solve for x
    x = 6,114,293,991.84/115,299
  6. Step 6: Final answer
    x = 53,029.90

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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.