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Finding the Fourth Proportional to 53,716.50, 80,579.07 and 16,780.50

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Solution

The fourth proportional to 53,716.50, 80,579.07 and 16,780.50 is: 25,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,716.50 : 80,579.07 = 16,780.50 : x
  2. Step 2: Convert to fraction form
    53,716.50/80,579.07 = 16,780.50/x
  3. Step 3: Cross multiply
    53,716.50x = 80,579.07 × 16,780.50
  4. Step 4: Simplify right side
    53,716.50x = 1,352,157,084.14
  5. Step 5: Solve for x
    x = 1,352,157,084.14/53,716.50
  6. Step 6: Final answer
    x = 25,172.10

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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.