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Finding the Fourth Proportional to 42,205.25, 58,251.03 and 27,116.78

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Solution

The fourth proportional to 42,205.25, 58,251.03 and 27,116.78 is: 37,426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,205.25 : 58,251.03 = 27,116.78 : x
  2. Step 2: Convert to fraction form
    42,205.25/58,251.03 = 27,116.78/x
  3. Step 3: Cross multiply
    42,205.25x = 58,251.03 × 27,116.78
  4. Step 4: Simplify right side
    42,205.25x = 1,579,580,074.03
  5. Step 5: Solve for x
    x = 1,579,580,074.03/42,205.25
  6. Step 6: Final answer
    x = 37,426.16

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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.