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Finding the Fourth Proportional to 48,786.21, 67,321.71 and 27,564.12

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Solution

The fourth proportional to 48,786.21, 67,321.71 and 27,564.12 is: 38,036.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,786.21 : 67,321.71 = 27,564.12 : x
  2. Step 2: Convert to fraction form
    48,786.21/67,321.71 = 27,564.12/x
  3. Step 3: Cross multiply
    48,786.21x = 67,321.71 × 27,564.12
  4. Step 4: Simplify right side
    48,786.21x = 1,855,663,693.05
  5. Step 5: Solve for x
    x = 1,855,663,693.05/48,786.21
  6. Step 6: Final answer
    x = 38,036.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.