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Finding the Fourth Proportional to 81,054.32, 111,856.85 and 50,840.92

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Solution

The fourth proportional to 81,054.32, 111,856.85 and 50,840.92 is: 70,161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,054.32 : 111,856.85 = 50,840.92 : x
  2. Step 2: Convert to fraction form
    81,054.32/111,856.85 = 50,840.92/x
  3. Step 3: Cross multiply
    81,054.32x = 111,856.85 × 50,840.92
  4. Step 4: Simplify right side
    81,054.32x = 5,686,904,609.38
  5. Step 5: Solve for x
    x = 5,686,904,609.38/81,054.32
  6. Step 6: Final answer
    x = 70,161.65

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Why These Related Problems?

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