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Finding the Fourth Proportional to 31,086.40, 42,902.31 and 17,658.49

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Solution

The fourth proportional to 31,086.40, 42,902.31 and 17,658.49 is: 24,370.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,086.40 : 42,902.31 = 17,658.49 : x
  2. Step 2: Convert to fraction form
    31,086.40/42,902.31 = 17,658.49/x
  3. Step 3: Cross multiply
    31,086.40x = 42,902.31 × 17,658.49
  4. Step 4: Simplify right side
    31,086.40x = 757,590,012.11
  5. Step 5: Solve for x
    x = 757,590,012.11/31,086.40
  6. Step 6: Final answer
    x = 24,370.46

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