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Finding the Fourth Proportional to 86,514.67, 129,844.95 and 33,961.06

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Solution

The fourth proportional to 86,514.67, 129,844.95 and 33,961.06 is: 50,970.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,514.67 : 129,844.95 = 33,961.06 : x
  2. Step 2: Convert to fraction form
    86,514.67/129,844.95 = 33,961.06/x
  3. Step 3: Cross multiply
    86,514.67x = 129,844.95 × 33,961.06
  4. Step 4: Simplify right side
    86,514.67x = 4,409,672,137.65
  5. Step 5: Solve for x
    x = 4,409,672,137.65/86,514.67
  6. Step 6: Final answer
    x = 50,970.22

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