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Finding the Fourth Proportional to 52,849, 79,273.50 and 20,017

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Solution

The fourth proportional to 52,849, 79,273.50 and 20,017 is: 30,025.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,849 : 79,273.50 = 20,017 : x
  2. Step 2: Convert to fraction form
    52,849/79,273.50 = 20,017/x
  3. Step 3: Cross multiply
    52,849x = 79,273.50 × 20,017
  4. Step 4: Simplify right side
    52,849x = 1,586,817,649.50
  5. Step 5: Solve for x
    x = 1,586,817,649.50/52,849
  6. Step 6: Final answer
    x = 30,025.50

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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.