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Finding the Fourth Proportional to 66,739.68, 100,118.33 and 24,649.34

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Solution

The fourth proportional to 66,739.68, 100,118.33 and 24,649.34 is: 36,977.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,739.68 : 100,118.33 = 24,649.34 : x
  2. Step 2: Convert to fraction form
    66,739.68/100,118.33 = 24,649.34/x
  3. Step 3: Cross multiply
    66,739.68x = 100,118.33 × 24,649.34
  4. Step 4: Simplify right side
    66,739.68x = 2,467,850,132.56
  5. Step 5: Solve for x
    x = 2,467,850,132.56/66,739.68
  6. Step 6: Final answer
    x = 36,977.25

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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.