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Finding the Fourth Proportional to 53,907, 80,857.72 and 20,624.50

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Solution

The fourth proportional to 53,907, 80,857.72 and 20,624.50 is: 30,935.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,907 : 80,857.72 = 20,624.50 : x
  2. Step 2: Convert to fraction form
    53,907/80,857.72 = 20,624.50/x
  3. Step 3: Cross multiply
    53,907x = 80,857.72 × 20,624.50
  4. Step 4: Simplify right side
    53,907x = 1,667,650,046.14
  5. Step 5: Solve for x
    x = 1,667,650,046.14/53,907
  6. Step 6: Final answer
    x = 30,935.69

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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.