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Finding the Fourth Proportional to 48,570.67, 67,022.13 and 27,349.48

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Solution

The fourth proportional to 48,570.67, 67,022.13 and 27,349.48 is: 37,739.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,570.67 : 67,022.13 = 27,349.48 : x
  2. Step 2: Convert to fraction form
    48,570.67/67,022.13 = 27,349.48/x
  3. Step 3: Cross multiply
    48,570.67x = 67,022.13 × 27,349.48
  4. Step 4: Simplify right side
    48,570.67x = 1,833,020,403.99
  5. Step 5: Solve for x
    x = 1,833,020,403.99/48,570.67
  6. Step 6: Final answer
    x = 37,739.24

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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.