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Finding the Fourth Proportional to 42,321.40, 58,377 and 27,233.68

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Solution

The fourth proportional to 42,321.40, 58,377 and 27,233.68 is: 37,565.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,321.40 : 58,377 = 27,233.68 : x
  2. Step 2: Convert to fraction form
    42,321.40/58,377 = 27,233.68/x
  3. Step 3: Cross multiply
    42,321.40x = 58,377 × 27,233.68
  4. Step 4: Simplify right side
    42,321.40x = 1,589,820,537.36
  5. Step 5: Solve for x
    x = 1,589,820,537.36/42,321.40
  6. Step 6: Final answer
    x = 37,565.41

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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.