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Finding the Fourth Proportional to 82,148.30, 123,222.71 and 22,984.49

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Solution

The fourth proportional to 82,148.30, 123,222.71 and 22,984.49 is: 34,476.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,148.30 : 123,222.71 = 22,984.49 : x
  2. Step 2: Convert to fraction form
    82,148.30/123,222.71 = 22,984.49/x
  3. Step 3: Cross multiply
    82,148.30x = 123,222.71 × 22,984.49
  4. Step 4: Simplify right side
    82,148.30x = 2,832,210,414.73
  5. Step 5: Solve for x
    x = 2,832,210,414.73/82,148.30
  6. Step 6: Final answer
    x = 34,476.80

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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.