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Finding the Fourth Proportional to 55,694.40, 83,544.80 and 16,257.60

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Solution

The fourth proportional to 55,694.40, 83,544.80 and 16,257.60 is: 24,387.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,694.40 : 83,544.80 = 16,257.60 : x
  2. Step 2: Convert to fraction form
    55,694.40/83,544.80 = 16,257.60/x
  3. Step 3: Cross multiply
    55,694.40x = 83,544.80 × 16,257.60
  4. Step 4: Simplify right side
    55,694.40x = 1,358,237,940.48
  5. Step 5: Solve for x
    x = 1,358,237,940.48/55,694.40
  6. Step 6: Final answer
    x = 24,387.33

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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.