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Finding the Fourth Proportional to 48,786.30, 67,322.34 and 27,565.92

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Solution

The fourth proportional to 48,786.30, 67,322.34 and 27,565.92 is: 38,039.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,786.30 : 67,322.34 = 27,565.92 : x
  2. Step 2: Convert to fraction form
    48,786.30/67,322.34 = 27,565.92/x
  3. Step 3: Cross multiply
    48,786.30x = 67,322.34 × 27,565.92
  4. Step 4: Simplify right side
    48,786.30x = 1,855,802,238.65
  5. Step 5: Solve for x
    x = 1,855,802,238.65/48,786.30
  6. Step 6: Final answer
    x = 38,039.41

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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.