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Finding the Fourth Proportional to 85,817.60, 128,649.60 and 33,209.60

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Solution

The fourth proportional to 85,817.60, 128,649.60 and 33,209.60 is: 49,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,817.60 : 128,649.60 = 33,209.60 : x
  2. Step 2: Convert to fraction form
    85,817.60/128,649.60 = 33,209.60/x
  3. Step 3: Cross multiply
    85,817.60x = 128,649.60 × 33,209.60
  4. Step 4: Simplify right side
    85,817.60x = 4,272,401,756.16
  5. Step 5: Solve for x
    x = 4,272,401,756.16/85,817.60
  6. Step 6: Final answer
    x = 49,784.68

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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.