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Finding the Fourth Proportional to 41,144.87, 56,779.98 and 22,282

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Solution

The fourth proportional to 41,144.87, 56,779.98 and 22,282 is: 30,749.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,144.87 : 56,779.98 = 22,282 : x
  2. Step 2: Convert to fraction form
    41,144.87/56,779.98 = 22,282/x
  3. Step 3: Cross multiply
    41,144.87x = 56,779.98 × 22,282
  4. Step 4: Simplify right side
    41,144.87x = 1,265,171,514.36
  5. Step 5: Solve for x
    x = 1,265,171,514.36/41,144.87
  6. Step 6: Final answer
    x = 30,749.19

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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.