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Finding the Fourth Proportional to 52,651.50, 78,984.67 and 17,101.43

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Solution

The fourth proportional to 52,651.50, 78,984.67 and 17,101.43 is: 25,654.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,651.50 : 78,984.67 = 17,101.43 : x
  2. Step 2: Convert to fraction form
    52,651.50/78,984.67 = 17,101.43/x
  3. Step 3: Cross multiply
    52,651.50x = 78,984.67 × 17,101.43
  4. Step 4: Simplify right side
    52,651.50x = 1,350,750,970.05
  5. Step 5: Solve for x
    x = 1,350,750,970.05/52,651.50
  6. Step 6: Final answer
    x = 25,654.56

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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.