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Finding the Fourth Proportional to 62,091.28, 85,683.42 and 33,797

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Solution

The fourth proportional to 62,091.28, 85,683.42 and 33,797 is: 46,638.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,091.28 : 85,683.42 = 33,797 : x
  2. Step 2: Convert to fraction form
    62,091.28/85,683.42 = 33,797/x
  3. Step 3: Cross multiply
    62,091.28x = 85,683.42 × 33,797
  4. Step 4: Simplify right side
    62,091.28x = 2,895,842,545.74
  5. Step 5: Solve for x
    x = 2,895,842,545.74/62,091.28
  6. Step 6: Final answer
    x = 46,638.47

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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.