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Finding the Fourth Proportional to 35,708.46, 49,280.87 and 22,992.03

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Solution

The fourth proportional to 35,708.46, 49,280.87 and 22,992.03 is: 31,731.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,708.46 : 49,280.87 = 22,992.03 : x
  2. Step 2: Convert to fraction form
    35,708.46/49,280.87 = 22,992.03/x
  3. Step 3: Cross multiply
    35,708.46x = 49,280.87 × 22,992.03
  4. Step 4: Simplify right side
    35,708.46x = 1,133,067,241.47
  5. Step 5: Solve for x
    x = 1,133,067,241.47/35,708.46
  6. Step 6: Final answer
    x = 31,731.06

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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.