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Finding the Fourth Proportional to 52,412.67, 78,594.80 and 16,867.37

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Solution

The fourth proportional to 52,412.67, 78,594.80 and 16,867.37 is: 25,293.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,412.67 : 78,594.80 = 16,867.37 : x
  2. Step 2: Convert to fraction form
    52,412.67/78,594.80 = 16,867.37/x
  3. Step 3: Cross multiply
    52,412.67x = 78,594.80 × 16,867.37
  4. Step 4: Simplify right side
    52,412.67x = 1,325,687,571.68
  5. Step 5: Solve for x
    x = 1,325,687,571.68/52,412.67
  6. Step 6: Final answer
    x = 25,293.27

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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.