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Finding the Fourth Proportional to 82,554.56, 123,831.86 and 33,272

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Solution

The fourth proportional to 82,554.56, 123,831.86 and 33,272 is: 49,908.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,554.56 : 123,831.86 = 33,272 : x
  2. Step 2: Convert to fraction form
    82,554.56/123,831.86 = 33,272/x
  3. Step 3: Cross multiply
    82,554.56x = 123,831.86 × 33,272
  4. Step 4: Simplify right side
    82,554.56x = 4,120,133,645.92
  5. Step 5: Solve for x
    x = 4,120,133,645.92/82,554.56
  6. Step 6: Final answer
    x = 49,908.01

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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.