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Finding the Fourth Proportional to 54,959.20, 82,402.80 and 21,659.20

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Solution

The fourth proportional to 54,959.20, 82,402.80 and 21,659.20 is: 32,474.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,959.20 : 82,402.80 = 21,659.20 : x
  2. Step 2: Convert to fraction form
    54,959.20/82,402.80 = 21,659.20/x
  3. Step 3: Cross multiply
    54,959.20x = 82,402.80 × 21,659.20
  4. Step 4: Simplify right side
    54,959.20x = 1,784,778,725.76
  5. Step 5: Solve for x
    x = 1,784,778,725.76/54,959.20
  6. Step 6: Final answer
    x = 32,474.61

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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.