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Finding the Fourth Proportional to 47,770.52, 65,918.08 and 27,624.36

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Solution

The fourth proportional to 47,770.52, 65,918.08 and 27,624.36 is: 38,118.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,770.52 : 65,918.08 = 27,624.36 : x
  2. Step 2: Convert to fraction form
    47,770.52/65,918.08 = 27,624.36/x
  3. Step 3: Cross multiply
    47,770.52x = 65,918.08 × 27,624.36
  4. Step 4: Simplify right side
    47,770.52x = 1,820,944,772.43
  5. Step 5: Solve for x
    x = 1,820,944,772.43/47,770.52
  6. Step 6: Final answer
    x = 38,118.59

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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.