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Finding the Fourth Proportional to 81,222.94, 111,984.89 and 52,494.27

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Solution

The fourth proportional to 81,222.94, 111,984.89 and 52,494.27 is: 72,375.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,222.94 : 111,984.89 = 52,494.27 : x
  2. Step 2: Convert to fraction form
    81,222.94/111,984.89 = 52,494.27/x
  3. Step 3: Cross multiply
    81,222.94x = 111,984.89 × 52,494.27
  4. Step 4: Simplify right side
    81,222.94x = 5,878,565,051.58
  5. Step 5: Solve for x
    x = 5,878,565,051.58/81,222.94
  6. Step 6: Final answer
    x = 72,375.67

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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.