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Finding the Fourth Proportional to 38,626.80, 57,961.80 and 16,436.40

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Solution

The fourth proportional to 38,626.80, 57,961.80 and 16,436.40 is: 24,663.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,626.80 : 57,961.80 = 16,436.40 : x
  2. Step 2: Convert to fraction form
    38,626.80/57,961.80 = 16,436.40/x
  3. Step 3: Cross multiply
    38,626.80x = 57,961.80 × 16,436.40
  4. Step 4: Simplify right side
    38,626.80x = 952,683,329.52
  5. Step 5: Solve for x
    x = 952,683,329.52/38,626.80
  6. Step 6: Final answer
    x = 24,663.79

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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.