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Finding the Fourth Proportional to 54,819.86, 82,203.86 and 25,228.94

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Solution

The fourth proportional to 54,819.86, 82,203.86 and 25,228.94 is: 37,831.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,819.86 : 82,203.86 = 25,228.94 : x
  2. Step 2: Convert to fraction form
    54,819.86/82,203.86 = 25,228.94/x
  3. Step 3: Cross multiply
    54,819.86x = 82,203.86 × 25,228.94
  4. Step 4: Simplify right side
    54,819.86x = 2,073,916,251.71
  5. Step 5: Solve for x
    x = 2,073,916,251.71/54,819.86
  6. Step 6: Final answer
    x = 37,831.48

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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.