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Finding the Fourth Proportional to 53,664.80, 80,497.20 and 52,512.80

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Solution

The fourth proportional to 53,664.80, 80,497.20 and 52,512.80 is: 78,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,664.80 : 80,497.20 = 52,512.80 : x
  2. Step 2: Convert to fraction form
    53,664.80/80,497.20 = 52,512.80/x
  3. Step 3: Cross multiply
    53,664.80x = 80,497.20 × 52,512.80
  4. Step 4: Simplify right side
    53,664.80x = 4,227,133,364.16
  5. Step 5: Solve for x
    x = 4,227,133,364.16/53,664.80
  6. Step 6: Final answer
    x = 78,769.20

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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.