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Finding the Fourth Proportional to 51,683.25, 71,328.36 and 32,820.39

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Solution

The fourth proportional to 51,683.25, 71,328.36 and 32,820.39 is: 45,295.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,683.25 : 71,328.36 = 32,820.39 : x
  2. Step 2: Convert to fraction form
    51,683.25/71,328.36 = 32,820.39/x
  3. Step 3: Cross multiply
    51,683.25x = 71,328.36 × 32,820.39
  4. Step 4: Simplify right side
    51,683.25x = 2,341,024,593.26
  5. Step 5: Solve for x
    x = 2,341,024,593.26/51,683.25
  6. Step 6: Final answer
    x = 45,295.61

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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.