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Finding the Fourth Proportional to 54,409.68, 81,604.40 and 22,811.18

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Solution

The fourth proportional to 54,409.68, 81,604.40 and 22,811.18 is: 34,212.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,409.68 : 81,604.40 = 22,811.18 : x
  2. Step 2: Convert to fraction form
    54,409.68/81,604.40 = 22,811.18/x
  3. Step 3: Cross multiply
    54,409.68x = 81,604.40 × 22,811.18
  4. Step 4: Simplify right side
    54,409.68x = 1,861,492,135.11
  5. Step 5: Solve for x
    x = 1,861,492,135.11/54,409.68
  6. Step 6: Final answer
    x = 34,212.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.