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Finding the Fourth Proportional to 116,083.78, 174,125.90 and 31,845.10

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Solution

The fourth proportional to 116,083.78, 174,125.90 and 31,845.10 is: 47,767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,083.78 : 174,125.90 = 31,845.10 : x
  2. Step 2: Convert to fraction form
    116,083.78/174,125.90 = 31,845.10/x
  3. Step 3: Cross multiply
    116,083.78x = 174,125.90 × 31,845.10
  4. Step 4: Simplify right side
    116,083.78x = 5,545,056,668.87
  5. Step 5: Solve for x
    x = 5,545,056,668.87/116,083.78
  6. Step 6: Final answer
    x = 47,767.71

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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.