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Finding the Fourth Proportional to 55,646.94, 83,491.65 and 33,475.98

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Solution

The fourth proportional to 55,646.94, 83,491.65 and 33,475.98 is: 50,226.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,646.94 : 83,491.65 = 33,475.98 : x
  2. Step 2: Convert to fraction form
    55,646.94/83,491.65 = 33,475.98/x
  3. Step 3: Cross multiply
    55,646.94x = 83,491.65 × 33,475.98
  4. Step 4: Simplify right side
    55,646.94x = 2,794,964,805.57
  5. Step 5: Solve for x
    x = 2,794,964,805.57/55,646.94
  6. Step 6: Final answer
    x = 50,226.75

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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.