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Finding the Fourth Proportional to 82,509, 123,765.93 and 20,179.50

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Solution

The fourth proportional to 82,509, 123,765.93 and 20,179.50 is: 30,269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,509 : 123,765.93 = 20,179.50 : x
  2. Step 2: Convert to fraction form
    82,509/123,765.93 = 20,179.50/x
  3. Step 3: Cross multiply
    82,509x = 123,765.93 × 20,179.50
  4. Step 4: Simplify right side
    82,509x = 2,497,534,584.44
  5. Step 5: Solve for x
    x = 2,497,534,584.44/82,509
  6. Step 6: Final answer
    x = 30,269.84

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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.