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Finding the Fourth Proportional to 86,076.50, 129,119.61 and 30,672.50

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Solution

The fourth proportional to 86,076.50, 129,119.61 and 30,672.50 is: 46,010.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,076.50 : 129,119.61 = 30,672.50 : x
  2. Step 2: Convert to fraction form
    86,076.50/129,119.61 = 30,672.50/x
  3. Step 3: Cross multiply
    86,076.50x = 129,119.61 × 30,672.50
  4. Step 4: Simplify right side
    86,076.50x = 3,960,421,237.73
  5. Step 5: Solve for x
    x = 3,960,421,237.73/86,076.50
  6. Step 6: Final answer
    x = 46,010.48

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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.