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Finding the Fourth Proportional to 85,649.22, 128,400.06 and 41,214.84

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Solution

The fourth proportional to 85,649.22, 128,400.06 and 41,214.84 is: 61,786.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,649.22 : 128,400.06 = 41,214.84 : x
  2. Step 2: Convert to fraction form
    85,649.22/128,400.06 = 41,214.84/x
  3. Step 3: Cross multiply
    85,649.22x = 128,400.06 × 41,214.84
  4. Step 4: Simplify right side
    85,649.22x = 5,291,987,928.89
  5. Step 5: Solve for x
    x = 5,291,987,928.89/85,649.22
  6. Step 6: Final answer
    x = 61,786.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.