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Finding the Fourth Proportional to 117,126.25, 175,694.24 and 34,020.25

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Solution

The fourth proportional to 117,126.25, 175,694.24 and 34,020.25 is: 51,031.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,126.25 : 175,694.24 = 34,020.25 : x
  2. Step 2: Convert to fraction form
    117,126.25/175,694.24 = 34,020.25/x
  3. Step 3: Cross multiply
    117,126.25x = 175,694.24 × 34,020.25
  4. Step 4: Simplify right side
    117,126.25x = 5,977,161,968.36
  5. Step 5: Solve for x
    x = 5,977,161,968.36/117,126.25
  6. Step 6: Final answer
    x = 51,031.79

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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.