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Finding the Fourth Proportional to 116,021.97, 174,033.11 and 31,782.88

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Solution

The fourth proportional to 116,021.97, 174,033.11 and 31,782.88 is: 47,674.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,021.97 : 174,033.11 = 31,782.88 : x
  2. Step 2: Convert to fraction form
    116,021.97/174,033.11 = 31,782.88/x
  3. Step 3: Cross multiply
    116,021.97x = 174,033.11 × 31,782.88
  4. Step 4: Simplify right side
    116,021.97x = 5,531,273,569.38
  5. Step 5: Solve for x
    x = 5,531,273,569.38/116,021.97
  6. Step 6: Final answer
    x = 47,674.36

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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.