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Finding the Fourth Proportional to 55,640.40, 83,466 and 16,196.64

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Solution

The fourth proportional to 55,640.40, 83,466 and 16,196.64 is: 24,296.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,640.40 : 83,466 = 16,196.64 : x
  2. Step 2: Convert to fraction form
    55,640.40/83,466 = 16,196.64/x
  3. Step 3: Cross multiply
    55,640.40x = 83,466 × 16,196.64
  4. Step 4: Simplify right side
    55,640.40x = 1,351,868,754.24
  5. Step 5: Solve for x
    x = 1,351,868,754.24/55,640.40
  6. Step 6: Final answer
    x = 24,296.53

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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.