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Finding the Fourth Proportional to 31,069.54, 42,877.04 and 17,640.34

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Solution

The fourth proportional to 31,069.54, 42,877.04 and 17,640.34 is: 24,344.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,069.54 : 42,877.04 = 17,640.34 : x
  2. Step 2: Convert to fraction form
    31,069.54/42,877.04 = 17,640.34/x
  3. Step 3: Cross multiply
    31,069.54x = 42,877.04 × 17,640.34
  4. Step 4: Simplify right side
    31,069.54x = 756,365,563.79
  5. Step 5: Solve for x
    x = 756,365,563.79/31,069.54
  6. Step 6: Final answer
    x = 24,344.28

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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.