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Finding the Fourth Proportional to 84,493.80, 126,734.10 and 22,162.68

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Solution

The fourth proportional to 84,493.80, 126,734.10 and 22,162.68 is: 33,242.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,493.80 : 126,734.10 = 22,162.68 : x
  2. Step 2: Convert to fraction form
    84,493.80/126,734.10 = 22,162.68/x
  3. Step 3: Cross multiply
    84,493.80x = 126,734.10 × 22,162.68
  4. Step 4: Simplify right side
    84,493.80x = 2,808,767,303.39
  5. Step 5: Solve for x
    x = 2,808,767,303.39/84,493.80
  6. Step 6: Final answer
    x = 33,242.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.