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Finding the Fourth Proportional to 48,043.71, 66,295.26 and 27,896.65

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Solution

The fourth proportional to 48,043.71, 66,295.26 and 27,896.65 is: 38,494.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,043.71 : 66,295.26 = 27,896.65 : x
  2. Step 2: Convert to fraction form
    48,043.71/66,295.26 = 27,896.65/x
  3. Step 3: Cross multiply
    48,043.71x = 66,295.26 × 27,896.65
  4. Step 4: Simplify right side
    48,043.71x = 1,849,415,664.88
  5. Step 5: Solve for x
    x = 1,849,415,664.88/48,043.71
  6. Step 6: Final answer
    x = 38,494.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.