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Finding the Fourth Proportional to 55,477.20, 83,167.20 and 33,299.40

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Solution

The fourth proportional to 55,477.20, 83,167.20 and 33,299.40 is: 49,919.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,477.20 : 83,167.20 = 33,299.40 : x
  2. Step 2: Convert to fraction form
    55,477.20/83,167.20 = 33,299.40/x
  3. Step 3: Cross multiply
    55,477.20x = 83,167.20 × 33,299.40
  4. Step 4: Simplify right side
    55,477.20x = 2,769,417,859.68
  5. Step 5: Solve for x
    x = 2,769,417,859.68/55,477.20
  6. Step 6: Final answer
    x = 49,919.93

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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.