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Finding the Fourth Proportional to 32,139.14, 44,353.72 and 20,198.06

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Solution

The fourth proportional to 32,139.14, 44,353.72 and 20,198.06 is: 27,874.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,139.14 : 44,353.72 = 20,198.06 : x
  2. Step 2: Convert to fraction form
    32,139.14/44,353.72 = 20,198.06/x
  3. Step 3: Cross multiply
    32,139.14x = 44,353.72 × 20,198.06
  4. Step 4: Simplify right side
    32,139.14x = 895,859,097.78
  5. Step 5: Solve for x
    x = 895,859,097.78/32,139.14
  6. Step 6: Final answer
    x = 27,874.40

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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.