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Finding the Fourth Proportional to 86,467.80, 129,649.80 and 33,814.56

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Solution

The fourth proportional to 86,467.80, 129,649.80 and 33,814.56 is: 50,701.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,467.80 : 129,649.80 = 33,814.56 : x
  2. Step 2: Convert to fraction form
    86,467.80/129,649.80 = 33,814.56/x
  3. Step 3: Cross multiply
    86,467.80x = 129,649.80 × 33,814.56
  4. Step 4: Simplify right side
    86,467.80x = 4,384,050,941.09
  5. Step 5: Solve for x
    x = 4,384,050,941.09/86,467.80
  6. Step 6: Final answer
    x = 50,701.54

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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.