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Finding the Fourth Proportional to 31,564.65, 43,559.19 and 20,234.14

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Solution

The fourth proportional to 31,564.65, 43,559.19 and 20,234.14 is: 27,923.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,564.65 : 43,559.19 = 20,234.14 : x
  2. Step 2: Convert to fraction form
    31,564.65/43,559.19 = 20,234.14/x
  3. Step 3: Cross multiply
    31,564.65x = 43,559.19 × 20,234.14
  4. Step 4: Simplify right side
    31,564.65x = 881,382,748.75
  5. Step 5: Solve for x
    x = 881,382,748.75/31,564.65
  6. Step 6: Final answer
    x = 27,923.10

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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.