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Finding the Fourth Proportional to 86,266.62, 129,413 and 27,096.73

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Solution

The fourth proportional to 86,266.62, 129,413 and 27,096.73 is: 40,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,266.62 : 129,413 = 27,096.73 : x
  2. Step 2: Convert to fraction form
    86,266.62/129,413 = 27,096.73/x
  3. Step 3: Cross multiply
    86,266.62x = 129,413 × 27,096.73
  4. Step 4: Simplify right side
    86,266.62x = 3,506,669,119.49
  5. Step 5: Solve for x
    x = 3,506,669,119.49/86,266.62
  6. Step 6: Final answer
    x = 40,649.20

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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.