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Finding the Fourth Proportional to 55,047.44, 82,571.16 and 23,882

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Solution

The fourth proportional to 55,047.44, 82,571.16 and 23,882 is: 35,823

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,047.44 : 82,571.16 = 23,882 : x
  2. Step 2: Convert to fraction form
    55,047.44/82,571.16 = 23,882/x
  3. Step 3: Cross multiply
    55,047.44x = 82,571.16 × 23,882
  4. Step 4: Simplify right side
    55,047.44x = 1,971,964,443.12
  5. Step 5: Solve for x
    x = 1,971,964,443.12/55,047.44
  6. Step 6: Final answer
    x = 35,823

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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.