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Finding the Fourth Proportional to 54,296.64, 81,388.12 and 22,724.80

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Solution

The fourth proportional to 54,296.64, 81,388.12 and 22,724.80 is: 34,063.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,296.64 : 81,388.12 = 22,724.80 : x
  2. Step 2: Convert to fraction form
    54,296.64/81,388.12 = 22,724.80/x
  3. Step 3: Cross multiply
    54,296.64x = 81,388.12 × 22,724.80
  4. Step 4: Simplify right side
    54,296.64x = 1,849,528,749.38
  5. Step 5: Solve for x
    x = 1,849,528,749.38/54,296.64
  6. Step 6: Final answer
    x = 34,063.41

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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.