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Finding the Fourth Proportional to 35,995.89, 49,675.38 and 20,080

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Solution

The fourth proportional to 35,995.89, 49,675.38 and 20,080 is: 27,710.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,995.89 : 49,675.38 = 20,080 : x
  2. Step 2: Convert to fraction form
    35,995.89/49,675.38 = 20,080/x
  3. Step 3: Cross multiply
    35,995.89x = 49,675.38 × 20,080
  4. Step 4: Simplify right side
    35,995.89x = 997,481,630.40
  5. Step 5: Solve for x
    x = 997,481,630.40/35,995.89
  6. Step 6: Final answer
    x = 27,710.99

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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.