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Finding the Fourth Proportional to 52,469.64, 78,744.42 and 19,221.12

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Solution

The fourth proportional to 52,469.64, 78,744.42 and 19,221.12 is: 28,846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,469.64 : 78,744.42 = 19,221.12 : x
  2. Step 2: Convert to fraction form
    52,469.64/78,744.42 = 19,221.12/x
  3. Step 3: Cross multiply
    52,469.64x = 78,744.42 × 19,221.12
  4. Step 4: Simplify right side
    52,469.64x = 1,513,555,946.15
  5. Step 5: Solve for x
    x = 1,513,555,946.15/52,469.64
  6. Step 6: Final answer
    x = 28,846.32

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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.