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Finding the Fourth Proportional to 55,212.80, 82,819.20 and 46,659.20

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Solution

The fourth proportional to 55,212.80, 82,819.20 and 46,659.20 is: 69,988.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,212.80 : 82,819.20 = 46,659.20 : x
  2. Step 2: Convert to fraction form
    55,212.80/82,819.20 = 46,659.20/x
  3. Step 3: Cross multiply
    55,212.80x = 82,819.20 × 46,659.20
  4. Step 4: Simplify right side
    55,212.80x = 3,864,277,616.64
  5. Step 5: Solve for x
    x = 3,864,277,616.64/55,212.80
  6. Step 6: Final answer
    x = 69,988.80

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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.