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Finding the Fourth Proportional to 48,190.51, 66,509.89 and 27,768.60

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Solution

The fourth proportional to 48,190.51, 66,509.89 and 27,768.60 is: 38,324.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,190.51 : 66,509.89 = 27,768.60 : x
  2. Step 2: Convert to fraction form
    48,190.51/66,509.89 = 27,768.60/x
  3. Step 3: Cross multiply
    48,190.51x = 66,509.89 × 27,768.60
  4. Step 4: Simplify right side
    48,190.51x = 1,846,886,531.45
  5. Step 5: Solve for x
    x = 1,846,886,531.45/48,190.51
  6. Step 6: Final answer
    x = 38,324.69

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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.