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Finding the Fourth Proportional to 52,647.91, 78,960.22 and 15,199.84

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Solution

The fourth proportional to 52,647.91, 78,960.22 and 15,199.84 is: 22,796.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,647.91 : 78,960.22 = 15,199.84 : x
  2. Step 2: Convert to fraction form
    52,647.91/78,960.22 = 15,199.84/x
  3. Step 3: Cross multiply
    52,647.91x = 78,960.22 × 15,199.84
  4. Step 4: Simplify right side
    52,647.91x = 1,200,182,239.56
  5. Step 5: Solve for x
    x = 1,200,182,239.56/52,647.91
  6. Step 6: Final answer
    x = 22,796.39

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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.