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Finding the Fourth Proportional to 85,085.68, 127,629.42 and 35,131.36

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Solution

The fourth proportional to 85,085.68, 127,629.42 and 35,131.36 is: 52,697.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,085.68 : 127,629.42 = 35,131.36 : x
  2. Step 2: Convert to fraction form
    85,085.68/127,629.42 = 35,131.36/x
  3. Step 3: Cross multiply
    85,085.68x = 127,629.42 × 35,131.36
  4. Step 4: Simplify right side
    85,085.68x = 4,483,795,100.61
  5. Step 5: Solve for x
    x = 4,483,795,100.61/85,085.68
  6. Step 6: Final answer
    x = 52,697.41

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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.