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Finding the Fourth Proportional to 47,683.22, 65,805.83 and 27,543.78

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Solution

The fourth proportional to 47,683.22, 65,805.83 and 27,543.78 is: 38,012.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,683.22 : 65,805.83 = 27,543.78 : x
  2. Step 2: Convert to fraction form
    47,683.22/65,805.83 = 27,543.78/x
  3. Step 3: Cross multiply
    47,683.22x = 65,805.83 × 27,543.78
  4. Step 4: Simplify right side
    47,683.22x = 1,812,541,166.52
  5. Step 5: Solve for x
    x = 1,812,541,166.52/47,683.22
  6. Step 6: Final answer
    x = 38,012.14

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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.