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Finding the Fourth Proportional to 74,098.50, 111,147.82 and 34,683.29

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Solution

The fourth proportional to 74,098.50, 111,147.82 and 34,683.29 is: 52,024.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,098.50 : 111,147.82 = 34,683.29 : x
  2. Step 2: Convert to fraction form
    74,098.50/111,147.82 = 34,683.29/x
  3. Step 3: Cross multiply
    74,098.50x = 111,147.82 × 34,683.29
  4. Step 4: Simplify right side
    74,098.50x = 3,854,971,945.83
  5. Step 5: Solve for x
    x = 3,854,971,945.83/74,098.50
  6. Step 6: Final answer
    x = 52,024.97

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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.