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Finding the Fourth Proportional to 82,176, 123,273.72 and 26,772

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Solution

The fourth proportional to 82,176, 123,273.72 and 26,772 is: 40,161.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,176 : 123,273.72 = 26,772 : x
  2. Step 2: Convert to fraction form
    82,176/123,273.72 = 26,772/x
  3. Step 3: Cross multiply
    82,176x = 123,273.72 × 26,772
  4. Step 4: Simplify right side
    82,176x = 3,300,284,031.84
  5. Step 5: Solve for x
    x = 3,300,284,031.84/82,176
  6. Step 6: Final answer
    x = 40,161.17

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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.