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Finding the Fourth Proportional to 82,323.54, 123,201 and 50,721.39

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Solution

The fourth proportional to 82,323.54, 123,201 and 50,721.39 is: 75,906.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,323.54 : 123,201 = 50,721.39 : x
  2. Step 2: Convert to fraction form
    82,323.54/123,201 = 50,721.39/x
  3. Step 3: Cross multiply
    82,323.54x = 123,201 × 50,721.39
  4. Step 4: Simplify right side
    82,323.54x = 6,248,925,969.39
  5. Step 5: Solve for x
    x = 6,248,925,969.39/82,323.54
  6. Step 6: Final answer
    x = 75,906.92

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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.