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Finding the Fourth Proportional to 55,923.21, 83,823.99 and 27,864

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Solution

The fourth proportional to 55,923.21, 83,823.99 and 27,864 is: 41,765.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,923.21 : 83,823.99 = 27,864 : x
  2. Step 2: Convert to fraction form
    55,923.21/83,823.99 = 27,864/x
  3. Step 3: Cross multiply
    55,923.21x = 83,823.99 × 27,864
  4. Step 4: Simplify right side
    55,923.21x = 2,335,671,657.36
  5. Step 5: Solve for x
    x = 2,335,671,657.36/55,923.21
  6. Step 6: Final answer
    x = 41,765.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.