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Finding the Fourth Proportional to 52,843.84, 79,273.97 and 17,780.77

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Solution

The fourth proportional to 52,843.84, 79,273.97 and 17,780.77 is: 26,673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,843.84 : 79,273.97 = 17,780.77 : x
  2. Step 2: Convert to fraction form
    52,843.84/79,273.97 = 17,780.77/x
  3. Step 3: Cross multiply
    52,843.84x = 79,273.97 × 17,780.77
  4. Step 4: Simplify right side
    52,843.84x = 1,409,551,808.50
  5. Step 5: Solve for x
    x = 1,409,551,808.50/52,843.84
  6. Step 6: Final answer
    x = 26,673.91

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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.