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Finding the Fourth Proportional to 52,241.76, 78,343.20 and 17,172

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Solution

The fourth proportional to 52,241.76, 78,343.20 and 17,172 is: 25,751.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,241.76 : 78,343.20 = 17,172 : x
  2. Step 2: Convert to fraction form
    52,241.76/78,343.20 = 17,172/x
  3. Step 3: Cross multiply
    52,241.76x = 78,343.20 × 17,172
  4. Step 4: Simplify right side
    52,241.76x = 1,345,309,430.40
  5. Step 5: Solve for x
    x = 1,345,309,430.40/52,241.76
  6. Step 6: Final answer
    x = 25,751.61

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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.