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Finding the Fourth Proportional to 42,180, 58,209.36 and 27,301.92

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Solution

The fourth proportional to 42,180, 58,209.36 and 27,301.92 is: 37,677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,180 : 58,209.36 = 27,301.92 : x
  2. Step 2: Convert to fraction form
    42,180/58,209.36 = 27,301.92/x
  3. Step 3: Cross multiply
    42,180x = 58,209.36 × 27,301.92
  4. Step 4: Simplify right side
    42,180x = 1,589,227,289.97
  5. Step 5: Solve for x
    x = 1,589,227,289.97/42,180
  6. Step 6: Final answer
    x = 37,677.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.