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Finding the Fourth Proportional to 48,558.71, 72,838.13 and 27,767.63

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Solution

The fourth proportional to 48,558.71, 72,838.13 and 27,767.63 is: 41,651.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,558.71 : 72,838.13 = 27,767.63 : x
  2. Step 2: Convert to fraction form
    48,558.71/72,838.13 = 27,767.63/x
  3. Step 3: Cross multiply
    48,558.71x = 72,838.13 × 27,767.63
  4. Step 4: Simplify right side
    48,558.71x = 2,022,542,243.73
  5. Step 5: Solve for x
    x = 2,022,542,243.73/48,558.71
  6. Step 6: Final answer
    x = 41,651.48

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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.