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Finding the Fourth Proportional to 86,010, 128,981.82 and 33,412.56

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Solution

The fourth proportional to 86,010, 128,981.82 and 33,412.56 is: 50,105.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,010 : 128,981.82 = 33,412.56 : x
  2. Step 2: Convert to fraction form
    86,010/128,981.82 = 33,412.56/x
  3. Step 3: Cross multiply
    86,010x = 128,981.82 × 33,412.56
  4. Step 4: Simplify right side
    86,010x = 4,309,612,799.66
  5. Step 5: Solve for x
    x = 4,309,612,799.66/86,010
  6. Step 6: Final answer
    x = 50,105.95

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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.