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Finding the Fourth Proportional to 55,222.71, 76,205.34 and 33,748.38

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Solution

The fourth proportional to 55,222.71, 76,205.34 and 33,748.38 is: 46,571.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,222.71 : 76,205.34 = 33,748.38 : x
  2. Step 2: Convert to fraction form
    55,222.71/76,205.34 = 33,748.38/x
  3. Step 3: Cross multiply
    55,222.71x = 76,205.34 × 33,748.38
  4. Step 4: Simplify right side
    55,222.71x = 2,571,806,772.35
  5. Step 5: Solve for x
    x = 2,571,806,772.35/55,222.71
  6. Step 6: Final answer
    x = 46,571.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.