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Finding the Fourth Proportional to 49,751.37, 68,655.17 and 27,090

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Solution

The fourth proportional to 49,751.37, 68,655.17 and 27,090 is: 37,383.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,751.37 : 68,655.17 = 27,090 : x
  2. Step 2: Convert to fraction form
    49,751.37/68,655.17 = 27,090/x
  3. Step 3: Cross multiply
    49,751.37x = 68,655.17 × 27,090
  4. Step 4: Simplify right side
    49,751.37x = 1,859,868,419.85
  5. Step 5: Solve for x
    x = 1,859,868,419.85/49,751.37
  6. Step 6: Final answer
    x = 37,383.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.