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Finding the Fourth Proportional to 47,521.68, 65,584.80 and 27,379.32

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Solution

The fourth proportional to 47,521.68, 65,584.80 and 27,379.32 is: 37,786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,521.68 : 65,584.80 = 27,379.32 : x
  2. Step 2: Convert to fraction form
    47,521.68/65,584.80 = 27,379.32/x
  3. Step 3: Cross multiply
    47,521.68x = 65,584.80 × 27,379.32
  4. Step 4: Simplify right side
    47,521.68x = 1,795,667,226.34
  5. Step 5: Solve for x
    x = 1,795,667,226.34/47,521.68
  6. Step 6: Final answer
    x = 37,786.27

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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.