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Finding the Fourth Proportional to 102,494.36, 153,728.82 and 27,620.36

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Solution

The fourth proportional to 102,494.36, 153,728.82 and 27,620.36 is: 41,427.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,494.36 : 153,728.82 = 27,620.36 : x
  2. Step 2: Convert to fraction form
    102,494.36/153,728.82 = 27,620.36/x
  3. Step 3: Cross multiply
    102,494.36x = 153,728.82 × 27,620.36
  4. Step 4: Simplify right side
    102,494.36x = 4,246,045,350.78
  5. Step 5: Solve for x
    x = 4,246,045,350.78/102,494.36
  6. Step 6: Final answer
    x = 41,427.11

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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.