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Finding the Fourth Proportional to 49,462.61, 68,261.75 and 27,944.90

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Solution

The fourth proportional to 49,462.61, 68,261.75 and 27,944.90 is: 38,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,462.61 : 68,261.75 = 27,944.90 : x
  2. Step 2: Convert to fraction form
    49,462.61/68,261.75 = 27,944.90/x
  3. Step 3: Cross multiply
    49,462.61x = 68,261.75 × 27,944.90
  4. Step 4: Simplify right side
    49,462.61x = 1,907,567,506.13
  5. Step 5: Solve for x
    x = 1,907,567,506.13/49,462.61
  6. Step 6: Final answer
    x = 38,565.85

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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.