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Finding the Fourth Proportional to 55,486.64, 83,212.68 and 18,542

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Solution

The fourth proportional to 55,486.64, 83,212.68 and 18,542 is: 27,807.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,486.64 : 83,212.68 = 18,542 : x
  2. Step 2: Convert to fraction form
    55,486.64/83,212.68 = 18,542/x
  3. Step 3: Cross multiply
    55,486.64x = 83,212.68 × 18,542
  4. Step 4: Simplify right side
    55,486.64x = 1,542,929,512.56
  5. Step 5: Solve for x
    x = 1,542,929,512.56/55,486.64
  6. Step 6: Final answer
    x = 27,807.23

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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.