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Finding the Fourth Proportional to 82,008, 113,145.12 and 50,160.96

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Solution

The fourth proportional to 82,008, 113,145.12 and 50,160.96 is: 69,206.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,008 : 113,145.12 = 50,160.96 : x
  2. Step 2: Convert to fraction form
    82,008/113,145.12 = 50,160.96/x
  3. Step 3: Cross multiply
    82,008x = 113,145.12 × 50,160.96
  4. Step 4: Simplify right side
    82,008x = 5,675,467,838.52
  5. Step 5: Solve for x
    x = 5,675,467,838.52/82,008
  6. Step 6: Final answer
    x = 69,206.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.