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Finding the Fourth Proportional to 81,213.81, 121,841.47 and 33,813.14

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Solution

The fourth proportional to 81,213.81, 121,841.47 and 33,813.14 is: 50,728.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,213.81 : 121,841.47 = 33,813.14 : x
  2. Step 2: Convert to fraction form
    81,213.81/121,841.47 = 33,813.14/x
  3. Step 3: Cross multiply
    81,213.81x = 121,841.47 × 33,813.14
  4. Step 4: Simplify right side
    81,213.81x = 4,119,842,682.92
  5. Step 5: Solve for x
    x = 4,119,842,682.92/81,213.81
  6. Step 6: Final answer
    x = 50,728.35

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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.