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Finding the Fourth Proportional to 33,885.40, 50,828.10 and 9,261.40

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Solution

The fourth proportional to 33,885.40, 50,828.10 and 9,261.40 is: 13,892.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,885.40 : 50,828.10 = 9,261.40 : x
  2. Step 2: Convert to fraction form
    33,885.40/50,828.10 = 9,261.40/x
  3. Step 3: Cross multiply
    33,885.40x = 50,828.10 × 9,261.40
  4. Step 4: Simplify right side
    33,885.40x = 470,739,365.34
  5. Step 5: Solve for x
    x = 470,739,365.34/33,885.40
  6. Step 6: Final answer
    x = 13,892.10

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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.