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Finding the Fourth Proportional to 31,633.82, 43,652.95 and 17,485.75

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Solution

The fourth proportional to 31,633.82, 43,652.95 and 17,485.75 is: 24,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,633.82 : 43,652.95 = 17,485.75 : x
  2. Step 2: Convert to fraction form
    31,633.82/43,652.95 = 17,485.75/x
  3. Step 3: Cross multiply
    31,633.82x = 43,652.95 × 17,485.75
  4. Step 4: Simplify right side
    31,633.82x = 763,304,570.46
  5. Step 5: Solve for x
    x = 763,304,570.46/31,633.82
  6. Step 6: Final answer
    x = 24,129.38

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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.