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Finding the Fourth Proportional to 42,338.86, 58,454.02 and 27,257.64

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Solution

The fourth proportional to 42,338.86, 58,454.02 and 27,257.64 is: 37,632.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,338.86 : 58,454.02 = 27,257.64 : x
  2. Step 2: Convert to fraction form
    42,338.86/58,454.02 = 27,257.64/x
  3. Step 3: Cross multiply
    42,338.86x = 58,454.02 × 27,257.64
  4. Step 4: Simplify right side
    42,338.86x = 1,593,318,633.71
  5. Step 5: Solve for x
    x = 1,593,318,633.71/42,338.86
  6. Step 6: Final answer
    x = 37,632.54

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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.