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Finding the Fourth Proportional to 86,600, 129,524.74 and 50,976.42

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Solution

The fourth proportional to 86,600, 129,524.74 and 50,976.42 is: 76,243.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,600 : 129,524.74 = 50,976.42 : x
  2. Step 2: Convert to fraction form
    86,600/129,524.74 = 50,976.42/x
  3. Step 3: Cross multiply
    86,600x = 129,524.74 × 50,976.42
  4. Step 4: Simplify right side
    86,600x = 6,602,707,546.63
  5. Step 5: Solve for x
    x = 6,602,707,546.63/86,600
  6. Step 6: Final answer
    x = 76,243.74

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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.