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Finding the Fourth Proportional to 42,676.32, 58,879.28 and 27,577.88

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Solution

The fourth proportional to 42,676.32, 58,879.28 and 27,577.88 is: 38,048.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,676.32 : 58,879.28 = 27,577.88 : x
  2. Step 2: Convert to fraction form
    42,676.32/58,879.28 = 27,577.88/x
  3. Step 3: Cross multiply
    42,676.32x = 58,879.28 × 27,577.88
  4. Step 4: Simplify right side
    42,676.32x = 1,623,765,286.04
  5. Step 5: Solve for x
    x = 1,623,765,286.04/42,676.32
  6. Step 6: Final answer
    x = 38,048.39

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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.