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Finding the Fourth Proportional to 82,179.82, 123,196.02 and 29,552.50

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Solution

The fourth proportional to 82,179.82, 123,196.02 and 29,552.50 is: 44,302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,179.82 : 123,196.02 = 29,552.50 : x
  2. Step 2: Convert to fraction form
    82,179.82/123,196.02 = 29,552.50/x
  3. Step 3: Cross multiply
    82,179.82x = 123,196.02 × 29,552.50
  4. Step 4: Simplify right side
    82,179.82x = 3,640,750,381.05
  5. Step 5: Solve for x
    x = 3,640,750,381.05/82,179.82
  6. Step 6: Final answer
    x = 44,302.24

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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.