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Finding the Fourth Proportional to 82,718.33, 124,077.50 and 20,388.83

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Solution

The fourth proportional to 82,718.33, 124,077.50 and 20,388.83 is: 30,583.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,718.33 : 124,077.50 = 20,388.83 : x
  2. Step 2: Convert to fraction form
    82,718.33/124,077.50 = 20,388.83/x
  3. Step 3: Cross multiply
    82,718.33x = 124,077.50 × 20,388.83
  4. Step 4: Simplify right side
    82,718.33x = 2,529,794,331.99
  5. Step 5: Solve for x
    x = 2,529,794,331.99/82,718.33
  6. Step 6: Final answer
    x = 30,583.24

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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.