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Finding the Fourth Proportional to 35,302.14, 52,982.37 and 14,540.22

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Solution

The fourth proportional to 35,302.14, 52,982.37 and 14,540.22 is: 21,822.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,302.14 : 52,982.37 = 14,540.22 : x
  2. Step 2: Convert to fraction form
    35,302.14/52,982.37 = 14,540.22/x
  3. Step 3: Cross multiply
    35,302.14x = 52,982.37 × 14,540.22
  4. Step 4: Simplify right side
    35,302.14x = 770,375,315.92
  5. Step 5: Solve for x
    x = 770,375,315.92/35,302.14
  6. Step 6: Final answer
    x = 21,822.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.