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Finding the Fourth Proportional to 82,538.70, 123,806.49 and 20,209.74

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Solution

The fourth proportional to 82,538.70, 123,806.49 and 20,209.74 is: 30,314.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,538.70 : 123,806.49 = 20,209.74 : x
  2. Step 2: Convert to fraction form
    82,538.70/123,806.49 = 20,209.74/x
  3. Step 3: Cross multiply
    82,538.70x = 123,806.49 × 20,209.74
  4. Step 4: Simplify right side
    82,538.70x = 2,502,096,973.21
  5. Step 5: Solve for x
    x = 2,502,096,973.21/82,538.70
  6. Step 6: Final answer
    x = 30,314.23

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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.