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Finding the Fourth Proportional to 27,953.52, 41,829.78 and 20,539.56

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Solution

The fourth proportional to 27,953.52, 41,829.78 and 20,539.56 is: 30,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,953.52 : 41,829.78 = 20,539.56 : x
  2. Step 2: Convert to fraction form
    27,953.52/41,829.78 = 20,539.56/x
  3. Step 3: Cross multiply
    27,953.52x = 41,829.78 × 20,539.56
  4. Step 4: Simplify right side
    27,953.52x = 859,165,276.10
  5. Step 5: Solve for x
    x = 859,165,276.10/27,953.52
  6. Step 6: Final answer
    x = 30,735.50

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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.