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Finding the Fourth Proportional to 86,176.34, 129,263.54 and 33,622.73

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Solution

The fourth proportional to 86,176.34, 129,263.54 and 33,622.73 is: 50,433.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,176.34 : 129,263.54 = 33,622.73 : x
  2. Step 2: Convert to fraction form
    86,176.34/129,263.54 = 33,622.73/x
  3. Step 3: Cross multiply
    86,176.34x = 129,263.54 × 33,622.73
  4. Step 4: Simplify right side
    86,176.34x = 4,346,192,289.83
  5. Step 5: Solve for x
    x = 4,346,192,289.83/86,176.34
  6. Step 6: Final answer
    x = 50,433.71

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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.