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Finding the Fourth Proportional to 48,189.51, 66,508.51 and 27,767.60

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Solution

The fourth proportional to 48,189.51, 66,508.51 and 27,767.60 is: 38,323.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,189.51 : 66,508.51 = 27,767.60 : x
  2. Step 2: Convert to fraction form
    48,189.51/66,508.51 = 27,767.60/x
  3. Step 3: Cross multiply
    48,189.51x = 66,508.51 × 27,767.60
  4. Step 4: Simplify right side
    48,189.51x = 1,846,781,369.73
  5. Step 5: Solve for x
    x = 1,846,781,369.73/48,189.51
  6. Step 6: Final answer
    x = 38,323.31

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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.