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Finding the Fourth Proportional to 34,035.72, 50,966.10 and 20,848.14

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Solution

The fourth proportional to 34,035.72, 50,966.10 and 20,848.14 is: 31,218.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,035.72 : 50,966.10 = 20,848.14 : x
  2. Step 2: Convert to fraction form
    34,035.72/50,966.10 = 20,848.14/x
  3. Step 3: Cross multiply
    34,035.72x = 50,966.10 × 20,848.14
  4. Step 4: Simplify right side
    34,035.72x = 1,062,548,388.05
  5. Step 5: Solve for x
    x = 1,062,548,388.05/34,035.72
  6. Step 6: Final answer
    x = 31,218.63

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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.