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Finding the Fourth Proportional to 31,549.50, 43,538.40 and 17,402.22

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Solution

The fourth proportional to 31,549.50, 43,538.40 and 17,402.22 is: 24,015.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,549.50 : 43,538.40 = 17,402.22 : x
  2. Step 2: Convert to fraction form
    31,549.50/43,538.40 = 17,402.22/x
  3. Step 3: Cross multiply
    31,549.50x = 43,538.40 × 17,402.22
  4. Step 4: Simplify right side
    31,549.50x = 757,664,815.25
  5. Step 5: Solve for x
    x = 757,664,815.25/31,549.50
  6. Step 6: Final answer
    x = 24,015.11

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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.