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Finding the Fourth Proportional to 48,005.56, 66,247.56 and 27,874.22

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Solution

The fourth proportional to 48,005.56, 66,247.56 and 27,874.22 is: 38,466.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,005.56 : 66,247.56 = 27,874.22 : x
  2. Step 2: Convert to fraction form
    48,005.56/66,247.56 = 27,874.22/x
  3. Step 3: Cross multiply
    48,005.56x = 66,247.56 × 27,874.22
  4. Step 4: Simplify right side
    48,005.56x = 1,846,599,061.90
  5. Step 5: Solve for x
    x = 1,846,599,061.90/48,005.56
  6. Step 6: Final answer
    x = 38,466.36

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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.