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Finding the Fourth Proportional to 48,786.82, 67,324.10 and 27,565.63

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Solution

The fourth proportional to 48,786.82, 67,324.10 and 27,565.63 is: 38,039.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,786.82 : 67,324.10 = 27,565.63 : x
  2. Step 2: Convert to fraction form
    48,786.82/67,324.10 = 27,565.63/x
  3. Step 3: Cross multiply
    48,786.82x = 67,324.10 × 27,565.63
  4. Step 4: Simplify right side
    48,786.82x = 1,855,830,924.54
  5. Step 5: Solve for x
    x = 1,855,830,924.54/48,786.82
  6. Step 6: Final answer
    x = 38,039.60

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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.