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Finding the Fourth Proportional to 53,912.64, 80,864.64 and 14,469.60

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Solution

The fourth proportional to 53,912.64, 80,864.64 and 14,469.60 is: 21,703.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,912.64 : 80,864.64 = 14,469.60 : x
  2. Step 2: Convert to fraction form
    53,912.64/80,864.64 = 14,469.60/x
  3. Step 3: Cross multiply
    53,912.64x = 80,864.64 × 14,469.60
  4. Step 4: Simplify right side
    53,912.64x = 1,170,078,994.94
  5. Step 5: Solve for x
    x = 1,170,078,994.94/53,912.64
  6. Step 6: Final answer
    x = 21,703.24

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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.