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Finding the Fourth Proportional to 86,161, 129,234.03 and 29,986.60

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Solution

The fourth proportional to 86,161, 129,234.03 and 29,986.60 is: 44,977.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,161 : 129,234.03 = 29,986.60 : x
  2. Step 2: Convert to fraction form
    86,161/129,234.03 = 29,986.60/x
  3. Step 3: Cross multiply
    86,161x = 129,234.03 × 29,986.60
  4. Step 4: Simplify right side
    86,161x = 3,875,289,164.00
  5. Step 5: Solve for x
    x = 3,875,289,164.00/86,161
  6. Step 6: Final answer
    x = 44,977.30

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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.