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Finding the Fourth Proportional to 75,675.33, 104,431.01 and 41,683.14

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Solution

The fourth proportional to 75,675.33, 104,431.01 and 41,683.14 is: 57,522.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,675.33 : 104,431.01 = 41,683.14 : x
  2. Step 2: Convert to fraction form
    75,675.33/104,431.01 = 41,683.14/x
  3. Step 3: Cross multiply
    75,675.33x = 104,431.01 × 41,683.14
  4. Step 4: Simplify right side
    75,675.33x = 4,353,012,201.76
  5. Step 5: Solve for x
    x = 4,353,012,201.76/75,675.33
  6. Step 6: Final answer
    x = 57,522.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.