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Finding the Fourth Proportional to 55,880.80, 83,813.10 and 16,433.80

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Solution

The fourth proportional to 55,880.80, 83,813.10 and 16,433.80 is: 24,648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,880.80 : 83,813.10 = 16,433.80 : x
  2. Step 2: Convert to fraction form
    55,880.80/83,813.10 = 16,433.80/x
  3. Step 3: Cross multiply
    55,880.80x = 83,813.10 × 16,433.80
  4. Step 4: Simplify right side
    55,880.80x = 1,377,367,722.78
  5. Step 5: Solve for x
    x = 1,377,367,722.78/55,880.80
  6. Step 6: Final answer
    x = 24,648.32

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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.