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Finding the Fourth Proportional to 55,651.20, 83,476.78 and 13,531

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Solution

The fourth proportional to 55,651.20, 83,476.78 and 13,531 is: 20,296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,651.20 : 83,476.78 = 13,531 : x
  2. Step 2: Convert to fraction form
    55,651.20/83,476.78 = 13,531/x
  3. Step 3: Cross multiply
    55,651.20x = 83,476.78 × 13,531
  4. Step 4: Simplify right side
    55,651.20x = 1,129,524,310.18
  5. Step 5: Solve for x
    x = 1,129,524,310.18/55,651.20
  6. Step 6: Final answer
    x = 20,296.50

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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.