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Finding the Fourth Proportional to 35,945.40, 49,596.12 and 27,014.34

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Solution

The fourth proportional to 35,945.40, 49,596.12 and 27,014.34 is: 37,273.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,945.40 : 49,596.12 = 27,014.34 : x
  2. Step 2: Convert to fraction form
    35,945.40/49,596.12 = 27,014.34/x
  3. Step 3: Cross multiply
    35,945.40x = 49,596.12 × 27,014.34
  4. Step 4: Simplify right side
    35,945.40x = 1,339,806,448.36
  5. Step 5: Solve for x
    x = 1,339,806,448.36/35,945.40
  6. Step 6: Final answer
    x = 37,273.38

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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.