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Finding the Fourth Proportional to 55,381, 83,106.06 and 22,549

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Solution

The fourth proportional to 55,381, 83,106.06 and 22,549 is: 33,837.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,381 : 83,106.06 = 22,549 : x
  2. Step 2: Convert to fraction form
    55,381/83,106.06 = 22,549/x
  3. Step 3: Cross multiply
    55,381x = 83,106.06 × 22,549
  4. Step 4: Simplify right side
    55,381x = 1,873,958,546.94
  5. Step 5: Solve for x
    x = 1,873,958,546.94/55,381
  6. Step 6: Final answer
    x = 33,837.57

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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.