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Finding the Fourth Proportional to 34,877.80, 52,230.30 and 27,965.80

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Solution

The fourth proportional to 34,877.80, 52,230.30 and 27,965.80 is: 41,879.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,877.80 : 52,230.30 = 27,965.80 : x
  2. Step 2: Convert to fraction form
    34,877.80/52,230.30 = 27,965.80/x
  3. Step 3: Cross multiply
    34,877.80x = 52,230.30 × 27,965.80
  4. Step 4: Simplify right side
    34,877.80x = 1,460,662,123.74
  5. Step 5: Solve for x
    x = 1,460,662,123.74/34,877.80
  6. Step 6: Final answer
    x = 41,879.42

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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.