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Finding the Fourth Proportional to 53,912.30, 80,880.74 and 16,477.70

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Solution

The fourth proportional to 53,912.30, 80,880.74 and 16,477.70 is: 24,720.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,912.30 : 80,880.74 = 16,477.70 : x
  2. Step 2: Convert to fraction form
    53,912.30/80,880.74 = 16,477.70/x
  3. Step 3: Cross multiply
    53,912.30x = 80,880.74 × 16,477.70
  4. Step 4: Simplify right side
    53,912.30x = 1,332,728,569.50
  5. Step 5: Solve for x
    x = 1,332,728,569.50/53,912.30
  6. Step 6: Final answer
    x = 24,720.31

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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.