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Finding the Fourth Proportional to 55,122.84, 82,682.64 and 23,958

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Solution

The fourth proportional to 55,122.84, 82,682.64 and 23,958 is: 35,936.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,122.84 : 82,682.64 = 23,958 : x
  2. Step 2: Convert to fraction form
    55,122.84/82,682.64 = 23,958/x
  3. Step 3: Cross multiply
    55,122.84x = 82,682.64 × 23,958
  4. Step 4: Simplify right side
    55,122.84x = 1,980,910,689.12
  5. Step 5: Solve for x
    x = 1,980,910,689.12/55,122.84
  6. Step 6: Final answer
    x = 35,936.30

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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.