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Finding the Fourth Proportional to 82,215.54, 123,322.23 and 19,885.50

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Solution

The fourth proportional to 82,215.54, 123,322.23 and 19,885.50 is: 29,827.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,215.54 : 123,322.23 = 19,885.50 : x
  2. Step 2: Convert to fraction form
    82,215.54/123,322.23 = 19,885.50/x
  3. Step 3: Cross multiply
    82,215.54x = 123,322.23 × 19,885.50
  4. Step 4: Simplify right side
    82,215.54x = 2,452,324,204.67
  5. Step 5: Solve for x
    x = 2,452,324,204.67/82,215.54
  6. Step 6: Final answer
    x = 29,827.99

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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.