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Finding the Fourth Proportional to 54,530.28, 81,833.09 and 35,819.28

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Solution

The fourth proportional to 54,530.28, 81,833.09 and 35,819.28 is: 53,753.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,530.28 : 81,833.09 = 35,819.28 : x
  2. Step 2: Convert to fraction form
    54,530.28/81,833.09 = 35,819.28/x
  3. Step 3: Cross multiply
    54,530.28x = 81,833.09 × 35,819.28
  4. Step 4: Simplify right side
    54,530.28x = 2,931,202,184.88
  5. Step 5: Solve for x
    x = 2,931,202,184.88/54,530.28
  6. Step 6: Final answer
    x = 53,753.66

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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.